Polynomial Representations of GL_n: with an Appendix on Schensted Correspondence and Littelmann Paths: With an Appendix on Schensted Correspondence and Ittelmann Paths: 830 - Brossura

Green, James A.

Brossura

ISBN 10: 3540469443 ISBN 13: 9783540469445

Casa editrice: Springer, 2006

Riassunto

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.

Su questo libro

Dalla quarta di copertina

The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GL_n. This classic account of matrix representations, the Schur algebra, the modular representations of GL_n, 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 gl_n. 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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 3540469443
• ISBN 13: 9783540469445
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 180
• Contatto del produttore: GPSR Kontakt; ProductSafety@springernature.com; ; Slevogtstraße 3-5; Heidelberg; 69126; Germania