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Autor: James A. Green
ISBN-13: 9783540469445
Einband: Taschenbuch
Seiten: 166
Gewicht: 273 g
Format: 236x157x12 mm
Sprache: Englisch

Polynomial Representations of GL(n)

830, Lecture Notes in Mathematics
with an Appendix on Schensted Correspondence and Littelmann Paths
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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, 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.
The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.
Adds a special appendix on Schensted Correspondence and Littelmann Paths
Polynomial Representations of GLn(K): The Schur algebra.- Weights and Characters.- The modules D?,K.- The Carter-Lusztig modules V?,K.- Representation theory of the symmetric group.

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Autor: James A. Green
ISBN-13 :: 9783540469445
ISBN: 3540469443
Erscheinungsjahr: 01.12.2006
Verlag: Springer-Verlag GmbH
Gewicht: 273g
Seiten: 166
Sprache: Englisch
Auflage 07002, 2nd ed
Sonstiges: Taschenbuch, 236x157x12 mm