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1.

図書

図書
Jens Carsten Jantzen
出版情報: Boston ; Tokyo : Academic Press, c1987  xiii, 443 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 131
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2.

図書

図書
Roe Goodman, Nolan R. Wallach
出版情報: Cambridge : Cambridge University Press, 1998  xvi, 685 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 68
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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:
3.

図書

図書
Paul Gérardin
出版情報: Berlin ; New York : Springer-Verlag, 1975  180 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 462
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4.

図書

図書
G. Lusztig
出版情報: Providence, R.I. : American Mathematical Society, c2003  vi, 136 p. ; 26 cm
シリーズ名: CRM monograph series ; v. 18
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5.

図書

図書
Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki ; translated by Kiyoshi Takeuchi
出版情報: Boston : Birkhäuser, c2008  x, 407 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 236
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6.

図書

図書
Alexander Kleshchev
出版情報: Cambridge : Cambridge University Press, c2005  xiv, 277 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 163
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目次情報: 続きを見る
Preface
Linear Representations / Part I:
Notations and generalities / 1:
Symmetric groups I / 2:
Degenerate affine Hecke algebra / 3:
First results on Hn-modules / 4:
Crystal operators / 5:
Character calculations / 6:
Integral representations and cyclotomic Hecke algebras / 7:
Functors ei? and fi? / 8:
Construction of UZ+ and irreducible modules / 9:
Identification of the crystal / 10:
Symmetric groups II / 11:
Projective Representations / Part II:
Generalities on superalgebra / 12:
Sergeev superalgebras / 13:
Affine Sergeev superalgebras / 14:
Integral representations and cyclotomic Sergeev algebras / 15:
First results on Xn-modules / 16:
Crystal operators for Xn / 17:
Character calculations for Xn / 18:
Operators ei? and fi? / 19:
Double covers / 20:
References
Index
Preface
Linear Representations / Part I:
Notations and generalities / 1:
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