Schur Algebras and Representation Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Stuart Martin 作者

Cambridge University Press

译者

2009-1-18 出版日期

256 页数

USD 64.99 价格

Paperback

丛书系列

9780521100465 图书编码

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Schur Algebras and Representation Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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