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Lecture Notes in Mathematics

Polynomial Representations of GL_n

with an Appendix on Schensted Correspondence and Littelmann Paths

Authors: Green, James A.

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  • Adds a special appendix on Schensted Correspondence and Littelmann Paths
  • A classic account of matrix representations
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  • ISBN 978-3-540-38379-6
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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 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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From the reviews: LNM 830 "is now regarded as the standard text on the finite-dimensional polynomial representations of the general linear group GL_n(K)."

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-3-540-38379-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Polynomial Representations of GL_n
Book Subtitle
with an Appendix on Schensted Correspondence and Littelmann Paths
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
830
Copyright
1980
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-38379-6
DOI
10.1007/BFb0092296
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 120
Topics