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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Schur Algebras and Representation Theory
• Author: Martin Stuart
• Language: English
• Binding: Hardback
• Number of pages: 252
• EAN: 9780521415910
• ISBN: 0521415918
• ID: 02030134
• Publisher: Cambridge University Press
• Weight: 480 g
• Dimensions: 229 × 152 × 17 mm
• Date of publishing: 27. January 1994

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