Linear and projective representations of symmetric groups

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Linear and projective representations of symmetric groups / Alexander Kleshchev

資料種別:: 図書
出版情報:: Cambridge : Cambridge University Press, c2005
形態:: xiv, 277 p. ; 24 cm
シリーズ名:: Cambridge tracts in mathematics ; 163 <BA00134372>
著者名:: Kleshchev, Alexander
ISBN:: 9780521837033 [0521837030] (: hbk)
書誌ID:: BA72534809

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注記:

Includes bibliographical references (p. [270]-274) and index

主題:

Algebras, Linear; Geometry, Projective; Hecke algebras; Linear algebraic groups; Modular representations of groups; Representations of groups; Superalgebras; Symmetry groups

言語:

英語

目次情報:

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：

Symmetric groups I / 2：

Degenerate affine Hecke algebra / 3：

First results on Hn-modules / 4：

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