Polynomial Representations of Gl_n: With an Appendix on Schensted Correspondence and Littelmann Paths Paperback - 2006
by Appendix by K. Erdmann; James A. Green; Appendix by James A. Green
From the rear cover
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 repesentation 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.
Details
- Title Polynomial Representations of Gl_n: With an Appendix on Schensted Correspondence and Littelmann Paths
- Author Appendix by K. Erdmann; James A. Green; Appendix by James A. Green
- Binding Paperback
- Edition U. S. EDITION
- Pages 166
- Volumes 1
- Language ENG
- Publisher Springer, Berlin
- Date 2006-11-30
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Maps
- ISBN 9783540469445 / 3540469443
- Weight 0.61 lbs (0.28 kg)
- Dimensions 9.1 x 6 x 0.4 in (23.11 x 15.24 x 1.02 cm)
- Library of Congress Catalog Number 2006934862
- Dewey Decimal Code 512.22
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