Polynomial Representations of GL_n
Publication year: 2007
ISBN: 978-3-540-46959-9
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The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn,The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the repesentation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra.
Subject: Mathematics and Statistics, Combinatorics, Representation theory, Schur algebra, Young tableaux, algebra, combinatorics on words, polynomial representation of the general linear group, representation of the symmetric group
