| 1.
|
図書
|
Lluís Puig
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| 2.
|
図書
|
Lajos Pukánszky
目次情報:
続きを見る
| Unitary representations of locally algebraic groups |
| Unitary representations of elementary groups |
| Existence of characters |
| Generalized Kirillov theory |
| Bibliography |
| Unitary representations of locally algebraic groups |
| Unitary representations of elementary groups |
| Existence of characters |
|
| 3.
|
図書
|
Roe Goodman, Nolan R. Wallach
目次情報:
続きを見る
| Classical groups as linear algebraic groups / 1： |
| Basic structure of classical groups / 2： |
| Algebras and representations / 3： |
| Polynomials and tensor invariants / 4： |
| Highest weight theory / 5： |
| Spinors / 6： |
| Cohomology and characters / 7： |
| Branching laws / 8： |
| Tensor representations of GL(V) / 9： |
| Tensor represenations of O(V) and Sp(V) / 10： |
| Algebraic groups and homogeneous spaces / 11： |
| Representations on Aff(X) / 12： |
| Algebraic geometry / A： |
| Linear and multilinear algebra / B： |
| Associative algebras and Lie algebras / C： |
| Manifolds and Lie groups / D： |
| Classical groups as linear algebraic groups / 1： |
| Basic structure of classical groups / 2： |
| Algebras and representations / 3： |
|
| 4.
|
図書
|
Rolf Berndt, Ralf Schmidt
|
| 5.
|
図書
|
G.I. Olshanski, editor
目次情報:
続きを見る
| Screenings and a universal Lie-de Rham cocycle / V. Ginzburg ; V. Schechtman |
| Interlacing measures / S. Kerov |
| Quasicommuting families of quantum Plucker coordinates / B. Leclerc ; A. Zelevinsky |
| Factorial supersymmetric Schur functions and super Capelli identities / A. Molev Yangians ; Capelli identities ; M. L. Nazarov |
| Hinges and the Study-Semple-Satake-Furstenberg-De Concini-Procesi-Oshima boundary / Y. Neretin |
| Multiplicities and Newton polytopes / A. Okounkov |
| Shifted Schur functions II. The binomial formula for characters of classical groups and its applications / G. Olshanski |
| Screenings and a universal Lie-de Rham cocycle / V. Ginzburg ; V. Schechtman |
| Interlacing measures / S. Kerov |
| Quasicommuting families of quantum Plucker coordinates / B. Leclerc ; A. Zelevinsky |
|
| 6.
|
図書
|
Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
|
| 7.
|
図書
|
Bourbaki, Nicolas
| 出版情報: |
Paris : Société mathématique de France, 1995 10 v. ; 25 cm |
| 子書誌情報: |
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| 8.
|
図書
|
Neil Chriss, Victor Ginzburg
| 出版情報: |
Boston : Birkhäuser, 1997 x, 495 p. ; 26 cm |
| 子書誌情報: |
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| 9.
|
図書
|
Anthony W. Knapp and David A. Vogan, Jr
|
| 10.
|
図書
|
M. Dineykhan ... [et al.]
|
| 11.
|
図書
|
R.S. Ismagilov ; [translated by D. Deart from an original Russian manuscript]
目次情報:
続きを見る
| Some general constructions related to representations |
| Representations of the group of measurable currents |
| Representations of the group of smooth currents |
| Certain results on diffeomorphism groups |
| Representations of diffeomorphism groups associated with configuration spaces |
| Representations of certain group extensions |
| Representations of diffeomorphism groups in the Fock space |
| Representations of groups of foliation preserving diffeomorphisms |
| References |
| Some general constructions related to representations |
| Representations of the group of measurable currents |
| Representations of the group of smooth currents |
|
| 12.
|
図書
|
A.A. Kirillov (ed.)
目次情報:
| Harmonic Analysis on Homogeneous Spaces / V.F. Molchanov |
| Representations of Lie Groups and Special Functions / N.Ya. Vilenkin ; A.U. Klimyk |
| Harmonic Analysis on Homogeneous Spaces / V.F. Molchanov |
| Representations of Lie Groups and Special Functions / N.Ya. Vilenkin ; A.U. Klimyk |
|
| 13.
|
図書
|
edited by Bent Ørsted, Henrik Schlichtkrull
|
| 14.
|
図書
|
Victor Guillemin, Eugene Lerman, Shlomo Sternberg
| 出版情報: |
Cambridge : Cambridge University Press, 1996 xiv, 222 p. ; 24 cm |
| 子書誌情報: |
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| 15.
|
図書
|
Ya.G. Sinaĭ, editor
目次情報:
続きを見る
| Phase space discretization in chaotic dynamical systems / M. L. Blank |
| $G$-consistent estimates of eigenvalues and eigenvectors of matrices / V. L. Girko |
| Circle homeomorphisms with weak discontinuities / K. M. Khanin ; E. B. Vul |
| Multidimensional KAM theory from the renormalization group viewpoint / D. V. Kosygin |
| Symmetries on a Julia set / G. M. Levin |
| Renormalization group and renormalization theory in p-adic and adelic scalar models / M. D. Missarov |
| Space-time chaos in chains of weakly interacting hyperbolic mappings / Ya. B. Pesin ; Ya. G. Sinai |
| Poisson distribution in a geometric problem |
| Singular spectral properties of a one-dimensional Schrodinger operator with almost periodic potential / S. Ya. Zhitomirskaya |
| Phase space discretization in chaotic dynamical systems / M. L. Blank |
| $G$-consistent estimates of eigenvalues and eigenvectors of matrices / V. L. Girko |
| Circle homeomorphisms with weak discontinuities / K. M. Khanin ; E. B. Vul |
|
| 16.
|
図書
|
A.N. Leznov, M.V. Saveliev ; translated from the Russian by D.A. Leites
|
| 17.
|
図書
|
Jeffrey Adams, Dan Barbasch, David A. Vogan, Jr
|
| 18.
|
図書
|
Samuel M. Vovsi
目次情報:
続きを見る
| Preliminaries |
| Stable varieties and homogeneity / 1： |
| Locally finite-dimensional varieties / 2： |
| Identities of finite and stable bifinite representations / 3： |
| Further topics |
| Preliminaries |
| Stable varieties and homogeneity / 1： |
| Locally finite-dimensional varieties / 2： |
|
| 19.
|
図書
|
William Fulton, Joe Harris
目次情報:
続きを見る
| Finite Groups / Part I： |
| Representations of Finite Groups / 1： |
| Characters / 2： |
| Examples; Induced Representations; Groups Algebras; Real Representations / 3： |
| Representations of Ed: Young Diagrams and Frobenius's Character Formula / 4： |
| Representation of Ud and GL2 and (Fq) / 5： |
| Weyl's Construction / 6： |
| Lie Groups and Lie Algebras / Part II： |
| Lie Groups / 7： |
| Lie Algebras and Lie Groups / 8： |
| Initial Classification of Lie Algebras / 9： |
| Lie Algebras in Dimensions One, Two, and Three / 10： |
| Representation of sI2 C / 11： |
| Representation of sI3 C, Part I / 12： |
| Representation of sI3 C, II: Mainly Lots of Examples / 13： |
| The Classical Lie Algebras and Their Representations / Part III： |
| The General Set-up: Analyzing the Structure and Representations of an Arbitrary Semi simple Lie Algebra / 14： |
| SI4 C and sIn C / 15： |
| Symplectic Lie Algebras / 16： |
| Sp6C and sp2n C / 17： |
| Orthogonal Lie Algebras / 18： |
| So6 C, so7 C, and som C / 19： |
| Spin Representations of so m C / 20： |
| Lie Theory / Part IV： |
| The Classification of Complex Simple Lie Algebras / 21： |
| G2 and Other Exceptional Lie Algebras / 22： |
| Complex Lie Groups; Characters / 23： |
| Weyl Character Formula / 24： |
| More Character Formulas / 25： |
| Real Lie Algebras and Lie Groups / 26： |
| Appendices A - F |
| Hints |
| Answers |
| References |
| Bibliography |
| Index of Symbols |
| Index |
| Finite Groups / Part I： |
| Representations of Finite Groups / 1： |
| Characters / 2： |
|
| 20.
|
図書
|
by Colin J. Bushnell and Philip C. Kutzko
|
| 21.
|
図書
|
by N.Ja. Vilenkin and A.U. Klimyk ; translated from the Russian by V.A. Groza and A.A. Groza
目次情報:
続きを見る
| List of the Most Important Notations |
| Special Functions Connected with SO(n) and with Related Groups / 9： |
| Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms / 10： |
| Special Functions Connected with the Groups U(n), U(n-1.1) and IU(n-1) / 11： |
| Representations of the Heisenberg Group and Special Functions / 12： |
| Representations of the Discrete Groups and Special Functions of Discrete Argument / 13： |
| Bibliography |
| Subject Index |
| List of the Most Important Notations |
| Special Functions Connected with SO(n) and with Related Groups / 9： |
| Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms / 10： |
|
| 22.
|
図書
|
François Digne and Jean Michel
目次情報:
続きを見る
| Background results |
| Bruhat decomposition / 1： |
| Reduced subgroups of maximal rank, centralisers and semisimple elements / 2： |
| Rationality, Frobenius maps, Lang's theorem / 3： |
| Generalized induction associated with a bimodule / 4： |
| Mackey's theorem / 5： |
| Harish-Chandra theory / 6： |
| Complements on RGL |
| Duality of characters / 7： |
| Steinberg characters / 8： |
| l-adic cohomology |
| Deligne-Lusztig induction / 9： |
| Character formulae and their complements in Deligne-Lusztig induction / 10： |
| Geometric conjugation, Lusztig series / 11： |
| Background results |
| Bruhat decomposition / 1： |
| Reduced subgroups of maximal rank, centralisers and semisimple elements / 2： |
|
| 23.
|
図書
|
edited by G.O. Michler, C.M. Ringel
|
| 24.
|
図書
|
Bruce E. Sagan
|
| 25.
|
図書
|
J.D. Hennig, W. Lücke, J. Tolar (eds.)
|
| 26.
|
図書
|
by N.Ja. Vilenkin and A.U. Klimyk
|
| 27.
|
図書
|
Zoltán Magyar
|
| 28.
|
図書
|
Gregory Karpilovsky
|
| 29.
|
図書
|
Gregory Karpilovsky
|
| 30.
|
図書
|
by N.Ja. Vilenkin and A.U. Klimyk
目次情報:
続きを見る
| Series Editor's Preface |
| List of Special Symbols |
| Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions / 14： |
| Semisimple Lie Groups and Related Homogeneous Spaces / 15： |
| Representation of Semisimple Lie Groups and Their Matrix Elements / 16： |
| Group Representations and Special Functions of a Matrix Argument / 17： |
| Representations in the Gel'fand-Tsetlin Basis and Special Functions / 18： |
| Modular Forms, Theta Functions and Representations of Affine Lie Algebras / 19： |
| Bibliography |
| Notes |
| Subject Index |
| Series Editor's Preface |
| List of Special Symbols |
| Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions / 14： |
|
| 31.
|
図書
|
D.J. Benson
目次情報:
続きを見る
| Conventions and notations |
| Introduction |
| Background material from algebraic topology / 1： |
| Cohomology of groups / 2： |
| Spectral sequences / 3： |
| The Evens norm map and the Steenrod algebra / 4： |
| Varieties for modules and multiple complexes / 5： |
| Group actions and the Steinberg module / 6： |
| Local coefficients on subgroup complexes / 7： |
| Bibliography |
| Index |
| Conventions and notations |
| Introduction |
| Background material from algebraic topology / 1： |
|
| 32.
|
図書
|
by Frederic V. Bien
| 出版情報: |
Princeton, N.J. : Princeton University Press, 1990 131 p. ; 24 cm |
| シリーズ名: |
Mathematical notes ; 39 |
| 子書誌情報: |
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| 33.
|
図書
|
by Jonathan D. Rogawski
|
| 34.
|
図書
|
by Gregory Karpilovsky
|
| 35.
|
図書
|
I.M. Gelʹfand, M.I. Graev, I.I. Pyatetskii-Shapiro ; translated from the Russian by K.A. Hirsch
|
| 36.
|
図書
|
M.J. Collins
目次情報:
続きを見る
| Preface |
| General representation theory / 1： |
| Complex characters / 2： |
| SuzukiG++s theory of exceptional characters / 3： |
| Coherence and exceptional characters / 4： |
| The characterisation of characters / 5： |
| Isometries / 6： |
| Appendix: GlaubermanG++s Z*-theorem |
| References |
| Index of notation |
| Index |
| Preface |
| General representation theory / 1： |
| Complex characters / 2： |
|
| 37.
|
図書
|
Stuart Martin
目次情報:
続きを見る
| Introduction |
| Polynomial functions and combinatorics / 1： |
| The Schur algebra / 2： |
| Representation theory of the Schur algebra / 3： |
| Schur functors and the symmetric group / 4： |
| Block theory / 5： |
| The q-Schur algebra / 6： |
| Representation theory of Sq(n,r) / 7： |
| Appendix: a review of algebraic groups |
| References |
| Index of notation |
| Index of terms |
| Introduction |
| Polynomial functions and combinatorics / 1： |
| The Schur algebra / 2： |
|
| 38.
|
図書
|
Sergio A. Albeverio ... [et al.]
目次情報:
続きを見る
| Basic functional groups and Lie algebras |
| Multiplicative G-distributions on a Riemannian manifold |
| The energy representations of gauge groups |
| Energy representation of path groups |
| The algebraic level - representations of current algebras |
| Basic functional groups and Lie algebras |
| Multiplicative G-distributions on a Riemannian manifold |
| The energy representations of gauge groups |
|
| 39.
|
図書
|
Gordon James and Martin Liebeck
目次情報:
続きを見る
| Preface |
| Groups and homomorphisms / 1： |
| Vector spaces and linear transformations / 2： |
| Group representations / 3： |
| FG-modules / 4： |
| FG-submodules and reducibility / 5： |
| Group algebras / 6： |
| FG-homomorphisms / 7： |
| Maschke's Theorem / 8： |
| Schur's Lemma / 9： |
| Irreducible modules and the group algebra / 10： |
| More on the group algebra / 11： |
| Conjugacy classes / 12： |
| Characters / 13： |
| Inner products of characters / 14： |
| The number of irreducible characters / 15： |
| Character tables and orthogonality relations / 16： |
| Normal subgroups and lifted characters / 17： |
| Some elementary character tables / 18： |
| Tensor products / 19： |
| Restriction to a subgroup / 20： |
| Induced modules and characters / 21： |
| Algebraic integers / 22： |
| Real representations / 23： |
| Summary of properties of character tables / 24： |
| Characters of groups of order pq / 25： |
| Characters of some p-groups / 26： |
| Character table of the simple group of order 168 / 27： |
| An application to group theory / 28： |
| Burnside's Theorem / 29： |
| An application of representation theory to molecular vibration / 30： |
| Solutions to exercises |
| Bibliography |
| Index |
| Preface |
| Groups and homomorphisms / 1： |
| Vector spaces and linear transformations / 2： |
|
| 40.
|
図書
|
Olaf Manz and Thomas R. Wolf
|
| 41.
|
図書
|
William G. Harter
| 出版情報: |
New York : J. Wiley, c1993 xxii, 846 p. ; 25 cm |
| 子書誌情報: |
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| 42.
|
図書
|
A.A. Kirillov (ed.)
目次情報:
| Representations of Virasoro and Affine Lie Algebras / Yu.A. Neretin |
| Representations of Virasoro and Affine Lie Algebras / Yu.A. Neretin |
|
| 43.
|
図書
|
by Philip Feinsilver and René Schott
|
| 44.
|
図書
|
David M. Goldschmidt
|
| 45.
|
図書
|
by Sundaram Thangavelu
| 出版情報: |
Princeton, N.J. : Princeton University Press, 1993 xv, 195 p. ; 24 cm |
| シリーズ名: |
Mathematical notes ; 42 |
| 子書誌情報: |
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| 46.
|
図書
|
by Horst Leptin, Jean Ludwig
|
| 47.
|
図書
|
by N.Ja. Vilenkin and A.U. Klimyk
目次情報:
続きを見る
| Preface |
| h-Harmonic Polynomials, h-Hankel Transform, and Coxeter Groups / 1： |
| Symmetric Polynomials and Symmetric Functions / 2： |
| Hypergeometric Functions Related to Jack Polynomials / 3： |
| Clebsch--Gordan Coefficients and Racah Coefficients of Finite Dimensional Representations / 4： |
| Clebsch--Gordan Coefficients of the Group U(n) and Related Generalizations of Hypergeometric Functions / 5： |
| Gel'fand Hypergeometric Functions / 6： |
| Index |
| Preface |
| h-Harmonic Polynomials, h-Hankel Transform, and Coxeter Groups / 1： |
| Symmetric Polynomials and Symmetric Functions / 2： |
|
| 48.
|
図書
|
Lawrence J. Corwin, Frederick P. Greenleaf
目次情報:
続きを見る
| Preface |
| Elementary theory of nilpotent Lie groups and Lie algebras / 1： |
| Kirillov theory / 2： |
| Parametrization of coadjoint orbits / 3： |
| Plancherel formula and related topics / 4： |
| Discrete cocompact subgroups / 5： |
| Appendix |
| Bibliography |
| Symbol index |
| Subject index |
| Preface |
| Elementary theory of nilpotent Lie groups and Lie algebras / 1： |
| Kirillov theory / 2： |
|
| 49.
|
図書
|
Cheryl E. Praeger, Leonard H. Soicher
目次情報:
続きを見る
| Low rank permutation groups / 1： |
| Digraphs for transitive groups / 2： |
| The methods / 3： |
| The individual groups / 4： |
| Summary of the representations and graphs / 5： |
| Low rank permutation groups / 1： |
| Digraphs for transitive groups / 2： |
| The methods / 3： |
|
| 50.
|
図書
|
H.F. Jones
| 出版情報: |
Bristol, England ; New York : A. Hilger, c1990 xi, 287 p. ; 24 cm |
| 子書誌情報: |
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