Notice bibliographique

Notice

Type(s) de contenu et mode(s) de consultation : Texte noté : électronique

Titre(s) : Polynomial Representations of GLn [Texte électronique] / J. A. Green. with an appendix on Schensted correspondence and Littelmann paths ; by Karin Erdmann, James A. Green and Manfred Schocker

Publication : Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books, 2007

Description matérielle : 1 online resource

Collection : Lecture Notes in Mathematics ; 830

Note(s) : Titre provenant de la page de titre du document numérisé. - Numérisation de l'édition de Berlin ; Heidelberg : Springer, cop. 2007. - Bibliogr. Index
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