Linear and projective representations of symmetric groups

The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent...

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Bibliographic Details
Main Author: Kleshchëv, A. S.
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2005
Series:Cambridge tracts in mathematics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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245 0 0 |a Linear and projective representations of symmetric groups  |c Alexander Kleshchev 
246 3 1 |a Linear & Projective Representations of Symmetric Groups 
260 |a Cambridge  |b Cambridge University Press  |c 2005 
300 |a xiv, 277 pages  |b digital 
653 |a Symmetry groups 
653 |a Representations of groups 
653 |a Modular representations of groups 
653 |a Hecke algebras 
653 |a Superalgebras 
653 |a Linear algebraic groups 
653 |a Algebras, Linear 
653 |a Geometry, Projective 
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490 0 |a Cambridge tracts in mathematics 
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520 |a The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject