ENGLISH

Polynomial Representations of GL n

By Manfred Schocker , James A. Green , Karin Erdmann (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
978-3-540-46944-5, 978-3-540-46959-9
DOI
10.1007/3-540-46944-3
Language
english
Format
PDF
Filesize
4 MB (4525517 bytes)
Series
Lecture Notes in Mathematics 830
Edition
2
Pages
166\166
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Group Theory and Generalizations; Associative Ring

Description

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.

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