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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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, and connections with symmetric groups, has been the basis of much research in representation theory.
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 representation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self-contained; in particular complete proofs are given of classical theorems of Schensted and Knuth.
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Bibliographic Information
Book Title: Polynomial Representations of GL_n
Book Subtitle: with an Appendix on Schensted Correspondence and Littelmann Paths
Authors: James A. Green
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0092296
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1980
eBook ISBN: 978-3-540-38379-6Published: 15 July 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 120
Topics: Real Functions