对宇宙的沉思

Zimmer, Ergodic theory and semisimple groups
Margulis, Discrete subgroups of semisimple Lie groups
Starkov, Dynamical systems on homogeneous spaces
Bekka, Mayer, Ergodic theory and topological dynamics of group actions on
homogeneous spaces
Handbooks of dynamical systems, Ch 1
Handbooks of dynamical systems, Ch 9, 11
Hochschild, The structure of Lie groups
Varadarajan, Lie groups, Lie algebras, and their representaions
Helgason, Differential geometry, Lie groups, and symmetric spaces
Borel, Wallach, Continuous cohomology, discrete subgroups, and
representations of reductive groups
Hilton, A course in homological algebra
Cartan, Eilenberg, Homlogical algebra
Encyclopaedia, Lie groups and Lie algebras I, II, III
Rosenlicht
Waterhouse, Introduction to affine group schemes
Runde, Lectures on amenability
Ratner, I, II, III
Knapp, Lie group beyond an introduction
Knapp, Representation theory of semisimple groups
Humphreys, Introduction to Lie algebras and representation theory
Onishchik, Lectures on real semisimple Lie algebras and their representations
Babillot, Feres, Zeghib, Rigidite, groupe fondamental et dynamique
Burger, Iozzi, Rigidity in dynamics and geometry
Morris, Ratner’s theorems on unipotent flows
Raghunathan, Discrete subgroups of Lie groups
Onishchik, Vinberg, Lie groups and algebraic groups
Borel, Introduction aux groupes arithmetiques
Humphreys, Arithmetic groups
Gantmacher, On the classification of real simple Lie groups
Gantmacher, Canonical representation of automorphisms of a complex
semi-simple Lie group
Steinberg, Endomorphisms of linear algebraic groups
Hochschild, Basic theory of algebraic groups and Lie algebras
Springer, Linear algebric groups
Borel, Linear algebric groups
Humphreys, Linear algebric groups
Serre, Galois cohomology
Brin, Hasselblatt, Pesin, Modern dynamical systems and applications, Part I
Feres, Dynamical systems and semisimple groups: an introduction
Brocher, tom Dieck, Representations of compact Lie groups
Walters, An introduction to ergodic theory
Robert, A course in p-adic analysis
Serre, A course to arithmetic
Auslander, Flows on homogeneous spaces
Atiyah, Introduction to commutative algebra
Weil, Basic number theory
Miyake, Modular Forms
Iwaniec, Spectral methods of automorphic forms
Venkov, Spectral theory of automorphic functions
Iwaniec, Topics in classical automorphic forms
Moeglin, Waldspurger, Spectral decomposition and Eisenstein series
Cogdell, Lectures on automorphic L-functions
Land, Algebraic number theory
Ramakirshnan, Valenza, Fourier analysis on number fields
Bump, Automorphic forms and representations
Gelbart, Automorphic forms on adele groups
Borel, Automorphic forms on SL_2(R)
Platonov, Rapinchuk, Algebraic groups and number theory
Lubotzky, Discrete groups, expanding grhphs and invariant measures
Borel, Essays in the history of Lie groups and algebraic groups
Borel, Casselman, Automorphic formn, representations and L-functions, I, II
叶扬波，模形式与迹公式

Dani, Lie groups and ergidic theory
Dold, Lectures on algebraic topology
Davis, Kirk, Lecture notes in algebraic topology
Vick, Homotopy theory
Steenord, The topology of fiber bundles
Kobayashi, Transformation groups in Differential geometry
Milnor, Characteristic classes
Wells, Differential analysis on complex manifolds
Griffiths, Principles of algebraic geometry
Kobayashi, Foundations of differential geometry I, II
Nadkarni, Basic ergodic theory
Mackey, Ergodic theory and its significance for statistical mechanics and
probability theory
Varadarajan, Geometry of quantum theory
Borel, Collected papers, IV
Matsumura, Commutative ring theory
Mahammed, Some applications of topological K-theory
Karoubi, K-theory: an introduction
Bott, Lectures on K(X)
Hahn, O’Meara, The classical groups and K-theory
Mumford, Geometric invariant theory
Mumford, Algebraic geometry I: complex projective varieties
Jantzen, Neeb, Lie theory: Lie algebras and representations
Anker, Orsted, Lie theory: unitary representations and compactifications of
symmetric spaces
Jantzen, Representations of algebraic groups
Warner, Harmonic analysis on semi-simple Lie groups, I, II
Voskresenskii, Algebraic groups and their birational invariants
Tits, Sur certaines classes d’espaces homogenes de groupes de Lie
Doran, Varadarajan, The mathematical legacy of Harish-Chandra
Artin, Tate, Class Field Theory
Parshin, Shafarevich, Number theory I
Koch, Algebraic number theory
Lang, Number theory III
Serre, Lie groups and Lie algebras
Encyclopaedia, Topology I, II
Bourbaki, Lie groups and Lie algebras, Ch 1-9
Cohn, Measure theory
Foreman, Descriptive set theory and dynamical systems
Howe, Tan, Non-abelian harmonic analysis: applications of SL(2,R)
Mackey, Unitary group representations in physics, probability and number
theory
Mackey, The scope and history of commutative and noncommutative harmonic
analysis
Mackey, The theory of unitary group representations
Satake, Algebraic structures of symmetric domains
Taylor, Several complex variables with connections to algebraic geometry and
Lie groups
Hilgert, Positivity in Lie theory: open problems
Brown, Cohomology of groups
Bump, An introduction to the Langlands program
Husemoller, Fibre bunbles
Brown, Buildings
Ronan, Lectures on buildings
Garrent, Buildings and classical groups
Humphreys, Reflection groups and Coxeter groups
Wallach, Harmonic analysis on homogeneous spaces
Folland, A course in abstract harmonic analysis
Cohn, A classical invitation to algebraic numbers and class fields
Gelfand, Representation theory and automorphic forms
Mimura, Toda, Topology of Lie groups, I and II
Bruhat-Tits (2本)
Borel-Tits,
Koblitz, p-adic numbers, p-adic analysis, and zeta-functions
Mahler, p-adic numbers and their functions
Bachman, Introduction to p-adic numbers and valuation theory
Schikhof, Uitrametric calculus: an introduction to p-adic analysis
Dieudonne, A panorama of pure mathematics
Thurston, Three-dimensional geometry and topology
Ballmann, Gromov, Manifolds of nonpositive curvature
Allday, Puppe, Cohomological methods in transformation groups
Hsiang, Cohomology theory of topological transformation groups
tom Dieck, Transformation groups and representation theory
Bak, Current trends in transformation groups
Bredon, Introduction to compact transformation groups
Petrie, Transformation groups on manifolds
tom Dieck, Transformation groups
Kawakubo, The theory of transformation groups
Bauer, Probability theory and elements of measure theory
Shub, Global stability of dynamical systems
Barreira, Lyapunov exponents and smooth ergodic theory
Switzer, Algebraic topology
Spanier, Algebraic topology
Munkres, Algebraic topology
Shimura, Introduction to the arithmetic theory of automorphic functions
Bump, Lie groups
Guivarc’h, Ji, Taylor, Compactifications of symmetric spaces
Hewitt, Ross, Abstract harmonic analysis, I, II
Vogan, Unitary representations of reductive Lie groups
Vogan, Representations of real reductive Lie groups
Cassels, Local fields
Onishchik, Topology of Transitive transformation groups
Collingwood, McGovern, Nilpotent orbits in semisimple Lie algebras
Varadarajan, An introduction to harmonic analysis on semisimple Lie groups
Encyclopaedia, Invariant theory and algebraic transformation groups, I–IV
Hofmann, Morris, The structure of compact groups
Wallach, Real reductive groups, I, II
Matsumura, Commutative algebra
Knapp, Vogan, Cohomological induction and unitary representations
Adams, Lectures on Lie groups
Heyer, Probability measures on locally compact groups
Helgason, Groups and geometric analysis
Helgason, geometric analysi on symmetric spaces
Jacobson, Lie algebras
Harish-Chandra, Automorphic forms on semisimple Lie groups
Winter, The structure of fields
Mumford, The red book of varieties and schemes
Eisenbud, Commutative algebra
Fesenko, Vostokov, Local fields and their extensions
Eisenbud, Harris, The geometry of schemes
Kammeyer, Rudolph, Restricted orbit equivalence for actions of discrete
amenable groups
Kechris, Miller, Topics in orbit equivalence
Chevalley, Theorie des groupes de Lie, II, III
Chevalley, Classification des groupes algebriques semi-simples
Tits, Lectures on algebraic groups
Silberger, Introduction to harmonic analysis on reductive p-adic groups
Harish-Chandra, Harmonic analysis on reductive p-adic groups
Serre, Complex semisimple Lie algebras
Satake, Sugiura, Classification theory of semi-simple algebraic groups
Carter, Segal, Macdonald, Lectures on Lie groups and Lie algebras
Akhiezer, Lie group actions in complex analysis
Sally, Wallach, Representation theory and automorphic forms
Bailey, Knapp, Representation theory and automorphic forms
Demazure, Gabriel, Groupes algebriques, I(1,2)
Demazure, Gabriel, Introduction to algebraic geometry and algebraic groups
Nicholls, The ergodic theory of discrete groups
Parshin, Shafarevich, Algebraic geometry IV
Steinberg, Conjugacy classes in algebraic groups
Humphreys, Conjugacy classes in semisimple algebraic groups
Borel, Mostov, Algebraic groups and discontinuous subgroups
Neukirch, Algebraic number theory
Godement, Notes on Jacquet-Langlands’ theory
Kapovich, Hyperbolic manifolds and discrete groups
Cassels, Frohlich, Algebraic number theory
Weil, Adeles and algebraic groups
Hecke, Lectures on the theory of algebraic numbers
Borel, Semisimple groups and Riemannian symmetric spaces
Serre, Algebraic groups and class fields
Warner, Foundations of differentiable manifolds and Lie groups
Hirzebruch, Topological methods in algebraic geometry
Hirsch, Differential topology
Lang, Algebra
Serre, Local fields
Katok, Introduction to the modern theory of dynamical systems
Fuks, cohomology of infinite-dimensional Lie algebras
Encyclopaedia, Dynamical systems, ergodic theory, and applications
Preface of the Collected papers of Harish-Chandra
Knapp, Trapa, Representations of semisimple Lie groups
Akhiezer, Homogeneous complex manifolds (encyclopeadia)
Pollicott, Lectures on ergodic theory and Pesin theory on compact manifolds
Mane, Ergodic theory and differentiable dynamics
Hida, Elementary theory of L-functions and Eisenstein series
Seinnerton-Dyer, A brief guide to algebraic number theory
Hilgert, Lawson, Lie groups, convex cones, and semigroups
Hilgert, Neeb, Lie semigroups and their applications
Kirillov, Introduction to the theory of representations and noncommutative
harmonic analysis (encyclopeadia)
Eastwood, Sawon, The Borel-Weil theorem for complex projective space
Wallach, Induced representations of Lie algebras and a theorem of Borel-Weil
Bott, Homogeneous vector bundles
Letter form McMullen
Adams, Vector fields on spheres
Atiyah, K-theory
Bott, The stable homotopy of the classical groups
Howe, Discrete groups in geometry and analysis
Dixmier, Enveloping algebras
McMullen, Complex dynamics and renormalization
McMullen, Renormalization and 3-manifolds which fiber over the circle
Arthur, Simple algebras, base change, and the advanced theory of the trace
formula
Kirillov, Elements of the theory of representations
Hsiang, Lectures on Lie groups
Bott, Tu, Differential forms in algebraic topology
Hartshorne, Algebric geometry
Shafarevich, Basic algebraic geometry, I, II
村上信吾， 齐性流形引论
姜伯驹，同调论
项武义，李群讲义
伍洪熙，黎曼几何初步
伍洪熙，黎曼几何选讲
张恭庆，泛函分析讲义，上下
张筑生，微分拓扑讲义
方企勤，复变函数教程
严志达，实半单李代数

Borel, Topics in the homotopy theory of fiber bundles
Browder, Surgery on simply-connected manifolds
Eliashberg, Thurston, Confoliations
Coxeter, Regular complex polytopes
Coxeter, Regular polytopes
McMullen, Abstract regular polytopes
de Rham, Differentiable manifolds
Morrow, Kodaira, Complex manifolds
? Chapter 1, Principal fiber bundles and connections
? Chapter 11, Connections on fiber bundles
Atiyah, The geometry and physics of knots
Koszul, Fiber bundles and differential geometry
Griffiths, Topics in algebraic and analytic geometry
米尔诺， 莫尔斯理论
Matsumoto, An introduction to Morse theory
Chern, Complex manifolds without potential theory
Tian, Canonical metrics in Kahler geometry
Donaldson, Floer homology groups in Yang-Mills theory
Hempel, 3-manifolds
Kirby, The topology of 4-manifolds
Milnor, Lectures on the h-cobordism theory
Moore, Lectures on Seiberg-Witten invariants
Fulton, Introduction to intersection theory in algebraic geometry
Abbondandolo, Morse theory for Hamiltonian systems
Fulton, Introduction to toric varieties
Steenrod, Cohomology operations
EGA
SGA3
Bourbaki, Algebre commutative, Ch 1-10
Bourbaki, Varietes–differentielles et analytiques
Hsiang, Least action principle of crystal formation of dense packing type
and Kepler’s conjecture
Kifer, Ergodic theory of random transformations
Woodhouse, Geometric quantization
O’Neill, Semi-Riemannian geometry
Guillemin, Pollack, Diffenential topology
Encyclopaedia, General topology, I
Nagata, Modern dimension theory
Engelking, Dimension theory
Hurewicz, Wallman, Dimension theory
Morita, Geometry of differential forms
Morita, Geometry of characteristic classes
Arnol’d, Givental, Symplectic geometry
Lawson, Spin geometry
Zheng, Complex differential geometry
Neretin, Categories of symmetries and infinite-dimensional groups
Montgomery, Zippin, Topological transformation groups
Huckleberry, Infinite dimensional Kahler manifolds
Omori, Infinite dimensional Lie transformations groups
Ismagilov, Representations of infinite-dimensional groups
Conner, Floyd, The relation of Cobordism to K-theories
Snaith, Algebraic cobordism and K-theory
Hilton, General cohomology theory and K-theory
Krantz, Parks, A primer of real analytic functions
Kirillov, Lectures on the orbit method
Pukanszky, Characters of connected Lie groups
Corwin, Greenleaf, Representations of nilpotent Lie groups and their
applications
Shiota, Geometry of subanalytic and semianalytic sets
Dixon, Analytic pro-p groups
Bell, Complex manifolds
Fields, Several complex variables and complex manifolds, I, II
Fritzsche, From holomorphic functions to complex manifolds
Gunning, Introduction to holomorphic functions of several variables, I, II,
III
Gunning, Rossi, Analytic functions of several complex variables
Atiyah, Representation theory of Lie groups
Harris, Morrison, Moduli of curves
Weil, Foundations of algebraic geometry
Enock, Schwartz, Kac algebras and duality of locally compact groups
Kosinski, Differential manifolds
Wall, Surgery on compact manifolds
Novikov, Homotopical equivallent smooth manifolds, I
Ferry, Novikov conjectures, index theorems and rigidity, I, II
farrell, Surgical methods in rigidity
Adachi, Embeddings and immersions
Rourke, Sanderson, Introduction to piecewise-linear topology
Stong, Notes oon cobordism theory
Madsen, Milgram, The classifying spaces for surgery and cobordism of
manifolds
Kirby, Siebenmann, Foundational essays on topological manifolds, smoothings,
and triangulations
Hirsch, Smoothings of piecewise linear manifolds
Arbarello, Geometry of algebraic curves, I
Griffiths, Morgan, Rational homotopy theory and differential forms
Evens, The cohomology of groups
Gruenberg, Cohomological topics in group theory
Stammbach, Homology in group theory
Adem, Milgram, Cohomology of finite groups
Lang, Topics in cohomology of groups
Loday, Cyclic homology
Aguilar, Algebraic topology from a homotopical viewpoint
Arveson, Ten lectures on operator algebras
Tent, Tits buildings and the model theory of groups
Bosch, Non-archimedean analysis
Fresnel, Rigid analytic geometry and its applications
Neukirch, Cohomology of number fields
Lusztig, The discrete series of GL_n over a finite field
Jantzen, Neeb, Lie theory: Lie algebras and representations (桂处也有)
Knapp, Lie groups, Lie algebras, and cohomology
Jacobson, Basic algebras, I, II
Lojasiewicz, Introduction to complex analytic geometry
Chirka, Complex analytic sets
Hofer, Zehnder, Symplectic invariants and Hamiltonian dynamics
Adams, Algebraic topology–a student’s guide
严加安， 测度论讲义
吕以？， 复解析动力系统
Griffiths,代数曲线
张筑生，数学分析新讲
严士健，概率论基础
伍洪熙，紧黎曼曲面引论
Koszul, 辛几何引论
丘维声，高等代数
Armstrong, 基础拓扑学
姜礼尚，数学物理方程讲义
陈省身，微分几何讲义
丁同仁，常微分方程教程
汪仁宫，概率论引论
陈维桓，微分流形初步

Borel, Seminar on transformation groups
Procedings of the second conference on compact transformation groups, I, II
(LNM298,299)
Transformation groups Poznan 1985 (LNM1217)
Kawakubo, Transformation groups (LNM1375)
Kharazishvili, Transformation groups and invariant measures: set-theoretical
aspects
tom Dieck, Algebraic topology and transformation groups (LNM1361)
Schultz, Group actions on manifolds
Katz, Sarnak, Random matrices, Frobenius eigenvalues, and monodromy
Pedersen, C^*-algebras and their automorphism groups
Fillmore, Mingo, Operator algebras and their applications, I, II
Bhat, Elliott, Fillmore, Lectures on Operator theory
Davidson, C^*-algebras by example
Fillmore, A user’s guide to operator algebras
Wermer, Banach algebras and several complex variables
Zhu, An introduction to operator algebras
Sakai, Operator algebras in dynamical systems
Sunder, An invitation to von Neumann algebras
Dixmier, Von Neumann algebras
Dixmier, C^*-algebras
Blackadar, K-theory for operator algebras
Valette, Introduction to the Baum-Connes conjecture
Takesaki, Theory of operator algebras, I, II, III
Kadison, Ringrose, Fundamentals of the theory of operator algebras, I, II
Kadison, Operator algebras and applications, I, II
Tomiyama, Invatation to C^*-algebras and topological dynamics
Fell, Representations of *-algebras, locally comopact groups, and Banach
*-algebraic bundles, I, II
D’Atri, Ziller, Naturally reductive metrics and Einstein metrics on compact
Lie groups
Kaneyuki, Homogeneous bounded domains and Siegel domains
Azencott, Wilson, Homogeneous manifolds with negative curvature, II
Howard, The kinematic formula in Riemannian homogeneous spaces
Hermann, Lie groups for physists
Jensen, Higher order contact of submanifolds of homogeneous spaces
Borel, Representations de groupes localement compacts
Robert, Introduction to the representation theory of compact and locally
compact groups
Tricerri, Vanhecke, homogeneous structure on Riemannian manifolds
Brezin, Harmonic analysis on compact solvmanifolds
Agranovskii, Invariant function spaces oon homogeneous manifolds of Lie
groups and applications
Connes, Noncommutative geometry
Arverson, An invitation to C^*-algebras
Grauert, Several complex variables
Halmos, Measure theory
Silverman, The arithmetic of elliptic curves
Harris, Algebraic geometry: a first course
Koblitz, Introduction to elliptic curves and modular forms
Faraut, Analysis and geometry on complex homogeneous domains
Klingenberg, A course in differential geometry
Lusztig, Characters of reductive groups over a finite fields
tom Dieck, Transformation groups(桂也有)
Encyclopeadia, Geometry, I
McDuff, Salamon, Introduction to symplectic topology
Pressley, Segal, Loop groups
Selick, Introduction to homotopy theory
Tan, Zhu, Representations of real and p-adic groups
Beauville, Complex algebraic surfaces
Gromov, Partial differential relations
Berger, Riemannian geometry during the second half of the twentieth century
Guillemin, Symplectic fibrations and multiplicity diagrams
Guillemin, Symplectic techniques in physics
Karasev, Maslov, Nonlinear Poisson brackets: geometry and quantization
Mackenzie, Lie groupoids and Lie algebroids in differential geometry
Omori, Infinite-dimensional Lie groups
Taubes, Seiberg Witten and Gromov invariants for symplectic 4-manifolds
Polterovich, The geometry of the group of symplectic fiffeomorphism
Banyaga, The structure of classical diffeomorphism groups
Friedman, Morgan, Gauge theory and the topology of four-manifolds
Donaldson, Kronheiimer, The geometry of four-manifolds
Morgan, The Seiberg-Witten equations and applications to the topology of
smooth four-manifolds
Joyce, Compact manifolds with special holonomy
Rolfsen, Knots and links
Milne, Algebraic groups and arithmetic groups
Lang, Introduction to algebraic and Abelian functions
Crowell, Introduction to Knot theory
Cohen, A course in simple-homotopy theory
Golubitsky, Stable mappings and their singularities
Massey, Algebraic topology: an introduction
Massey, Singular homology theory
Olver, Applications of Lie groups to differential equations
Sachs, Wu, General relativity for mathematicians
Beardon, The geometry of discrete groups
Das, The special theory of relativity: a mathematical exposition
Ebbinghaus, Numbers
Moise, Geometric topology in dimensional 2 and 3
Edwards, Galois theory
聂灵沼，丁石孙，代数学引论
尤承业，基础拓扑学讲义
曹锡华，群表示论
黎景辉，二阶矩阵群的表示与自守形式
张筑生，微分动力系统原理