Polynomial Representations of GL_n: with an Appendix on Schensted Correspondence and Littelmann Paths (Lecture Notes in Mathematics, Band 830) - Softcover

Green, James A.

 
9783540469445: Polynomial Representations of GL_n: with an Appendix on Schensted Correspondence and Littelmann Paths (Lecture Notes in Mathematics, Band 830)
Softcover
ISBN 10: 3540469443 ISBN 13: 9783540469445
Verlag: Springer, 2006

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
3540469443
ISBN 13 
9783540469445
Einband
Taschenbuch
Auflage
2
Anzahl der Seiten
180
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