close
1.

図書

図書
Claude Chevalley
出版情報: Tokyo : Overseas Publications, 1965  viii, 217 p. ; 22 cm
シリーズ名: Princeton mathematical series ; 8
所蔵情報: loading…
2.

図書

図書
Claude Chevalley
出版情報: Tokyo : Kaigai Publications, 1965  viii, 217 p. ; 22 cm
シリーズ名: Princeton mathematical series ; 8
所蔵情報: loading…
3.

図書

図書
Robert J. Zimmer
出版情報: Boston : Birkhäuser, 1984  x, 209 p. ; 25 cm
シリーズ名: Monographs in mathematics ; v. 81
所蔵情報: loading…
4.

図書

図書
Roger W. Carter
出版情報: Chichester ; New York : Wiley, c1985  xii, 544 p. ; 25 cm
シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts
所蔵情報: loading…
5.

図書

図書
edited by J. Carmona, P. Delorme, and M. Vergne
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  309 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 1243
所蔵情報: loading…
6.

図書

図書
edited by V. Kac
出版情報: New York : Springer-Verlag, c1985  380 p. ; 24 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 4
所蔵情報: loading…
7.

図書

図書
D.H. Sattinger, O.L. Weaver
出版情報: New York : Springer-Verlag, c1986  ix, 215 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 61
所蔵情報: loading…
8.

図書

図書
Serge Lang
出版情報: New York : Springer-Verlag, c1985  xiv, 428 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 105
所蔵情報: loading…
目次情報: 続きを見る
General Results, Compact Groups
Induced Representations, Spherical Functions
The Spherical Transform
The Derived Representation on the Lie Algebra, Traces
The Plancheral Formula, Discrete Series
Partial Differential Operators
The Weil Representation, Representation on OL2(r/G)
The Continuous Part of L2(r/G)
Spectral Decomposition of the Laplace Operator on
Appendices
General Results, Compact Groups
Induced Representations, Spherical Functions
The Spherical Transform
9.

図書

図書
N. Bourbaki
出版情報: Paris : Masson, 1981-1990  v. ; 24 cm
シリーズ名: Éléments de mathématique / par N. Bourbaki
所蔵情報: loading…
目次情報: 続きを見る
chapitre 4. Groupes de coxeter et systèmes de tits
chapitre 5. Groupes engendrés par des réflexions
chapitre 6. Systèmes de racines
chapitre 7. Sous-algèbres de Cartan, éléments réguliers
chapitre 8. Algèbres de Lie semi-simples déployées
chapitre 9. Groupes de Lie réels compacts
chapitre 4. Groupes de coxeter et systèmes de tits
chapitre 5. Groupes engendrés par des réflexions
chapitre 6. Systèmes de racines
10.

図書

図書
Anthony W. Knapp
出版情報: Princeton, N.J. : Princeton University Press, 1986  xvii, 773 p. ; 24 cm
シリーズ名: Princeton mathematical series ; 36
所蔵情報: loading…
目次情報: 続きを見る
Preface to the Princeton Landmarks in Mathematics Edition
Preface
Acknowledgments
Scope of the Theory / Chapter I.:
The Classical Groups / 1.:
Cartan Decomposition / 2.:
Representations / 3.:
Concrete Problems in Representation Theory / 4.:
Abstract Theory for Compact Groups / 5.:
Application of the Abstract Theory to Lie Groups / 6.:
Problems / 7.:
Representations of SU(2), SL(2, R), and SL(2, C) / Chapter II.:
The Unitary Trick
Irreducible Finite-Dimensional Complex-Linear Representations of sl(2, C)
Finite-Dimensional Representations of sl(2, C)
Irreducible Unitary Representations of SL(2, C)
Irreducible Unitary Representations of SL(2, R)
Use of SU(1, 1)
Plancherel Formula
C[superscript [infinity] Vectors and the Universal Enveloping Algebra / 8.:
Universal Enveloping Algebra
Actions on Universal Enveloping Algebra
C[superscript [infinity] Vectors
Garding Subspace
Representations of Compact Lie Groups / Chapter IV.:
Examples of Root Space Decompositions
Roots
Abstract Root Systems and Positivity
Weyl Group, Algebraically
Weights and Integral Forms
Centalizers of Tori
Theorem of the Highest Weight
Verma Modules
Weyl Group, Analytically / 9.:
Weyl Character Formula / 10.:
Structure Theory for Noncompact Groups / 11.:
Cartan Decomposition and the Unitary Trick
Iwasawa Decomposition
Regular Elements, Weyl Chambers, and the Weyl Group
Other Decompositions
Parabolic Subgroups
Integral Formulas
Borel-Weil Theorem
Holomorphic Discrete Series / Chapter VI.:
Holomorphic Discrete Series for SU(1, 1)
Classical Bounded Symmetric Domains
Harish-Chandra Decomposition
Finiteness of an Integral
Induced Representations / Chapter VII.:
Three Pictures
Elementary Properties
Bruhat Theory
Formal Intertwining Operators
Gindikin-Karpelevic Formula
Estimates on Intertwining Operators, Part I
Analytic Continuation of Intertwining Operators, Part I
Spherical Functions
Finite-Dimensional Representations and the H function
Estimates on Intertwining Operators, Part II
Tempered Representations and Langlands Quotients
Admissible Representations / 12.:
Motivation
Invariant Subspaces
Framework for Studying Matrix Coefficients
Harish-Chandra Homomorphism
Infinitesimal Character
Differential Equations Satisfied by Matrix Coefficients
Asymptotic Expansions and Leading Exponents
First Application: Subrepresentation Theorem
Second Application: Analytic Continuation of Interwining Operators, Part II
Third Application: Control of K-Finite Z(g[superscript C])-Finite Functions
Asymptotic Expansions near the Walls
Fourth Application: Asymptotic Size of Matrix Coefficients / 13.:
Fifth Application: Identification of Irreducible Tempered Representations / 14.:
Sixth Application: Langlands Classification of Irreducible Admissible Representations / 15.:
Construction of Discrete Series / 16.:
Infinitesimally Unitary Representations
A Third Way of Treating Admissible Representations
Equivalent Definitions of Discrete Series
Motivation in General and the Construction in SU(1, 1)
Finite-Dimensional Spherical Representations
Duality in the General Case
Limitations on K Types
Lemma on Linear Independence
Global Characters / Chapter X.:
Existence
Character Formulas for SL(2, R)
Induced Characters
Differential Equations
Analyticity on the Regular Set, Overview and Example
Analyticity on the Regular Set, General Case
Formula on the Regular Set
Behavior on the Singular Set
Families of Admissible Representations
Introduction to Plancherel Formula / Chapter XI.:
Constructive Proof for SU(2)
Constructive Proof for SL(2, C)
Constructive Proof for SL(2, R)
Ingredients of Proof for General Case
Scheme of Proof for General Case
Properties of F[subscript f]
Hirai's Patching Conditions
Exhaustion of Discrete Series / Chapter XII.:
Boundedness of Numerators of Characters
Use of Patching Conditions
Formula for Discrete Series Characters
Schwartz Space
Tempered Distributions
Limits of Discrete Series
Discrete Series of M
Schmid's Identity
Ideas and Ingredients / Chapter XIII.:
Real-Rank-One Groups
Real-Rank-One Groups, Part II
Averaged Discrete Series
Sp (2, R)
General Case
Irreducible Tempered Representations / Chapter XIV.:
SL(2, R) from a More General Point of View
Eisenstein Integrals
Asymptotics of Eisenstein Integrals
The [eta] Functions for Intertwining Operators
First Irreducibility Results
Normalization of Intertwining Operators and Reducibility
Connection with Plancherel Formula when dim A = 1
Harish-Chandra's Completeness Theorem
R Group
Action by Weyl Group on Representations of M
Multiplicity One Theorem
Zuckerman Tensoring of Induced Representations
Generalized Schmid Identities
Inversion of Generalized Schmid Identities
Complete Reduction of Induced Representations
Classification
Revised Langlands Classification / 17.:
Minimal K Types / 18.:
Definition and Formula
Inversion Problem
Connection with Intertwining Operators
Unitary Representations / Chapter XVI.:
SL(2, R) and SL(2, C)
Continuity Arguments and Complementary Series
Criterion for Unitary Representations
Reduction to Real Infinitesimal Character
Elementary Theory of Lie Groups / Appendix A:
Lie Algebras
Structure Theory of Lie Algebras
Fundamental Group and Covering Spaces
Topological Groups
Vector Fields and Submanifolds
Lie Groups
Regular Singular Points of Partial Differential Equations / Appendix B:
Summary of Classical One-Variable Theory
Uniqueness and Analytic Continuation of Solutions in Several Variables
Analog of Fundamental Matrix
Regular Singularities
Systems of Higher Order
Leading Exponents and the Analog of the Indicial Equation
Uniqueness of Representation
Roots and Restricted Roots for Classical Groups / Appendix C:
Complex Groups
Noncompact Real Groups
Roots vs. Restricted Roots in Noncompact Real Groups
Notes
References
Index of Notation
Index
Preface to the Princeton Landmarks in Mathematics Edition
Preface
Acknowledgments
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼