Non-Fiction Books:

Schur Algebras and Representation Theory

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Paperback / softback
$145.99
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Description

The Schur algebra is an algebraic system providing a link between the representation theory of the symmetric and general linear groups (both finite and infinite). In the text Dr Martin gives a full, self-contained account of this algebra and these links, covering both the basic theory of Schur algebras and related areas. He discusses the usual representation-theoretic topics such as constructions of irreducible modules, the blocks containing them, their modular characters and the problem of computing decomposition numbers; moreover deeper properties such as the quasi-hereditariness of the Schur algebra are discussed. The opportunity is taken to give an account of quantum versions of Schur algebras and their relations with certain q-deformations of the coordinate rings of the general linear group. The approach is combinatorial where possible, making the presentation accessible to graduate students. This is the first comprehensive text in this important and active area of research; it will be of interest to all research workers in representation theory.
Release date Australia
January 18th, 2009
Author
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
256
Dimensions
152x229x15
ISBN-13
9780521100465
Product ID
2836747

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