Polynomial representations of GL n [Documento eletrónico] / James A. Green, Manfred Schocker, Karin Erdmann
Language: eng - inglesa.Country: Germany.Publication: Berlin, Heidelberg : Springer , 2007Description: X, 166 p.ISBN: 978-3-540-46959-9.Series: Lecture Notes in Mathematics, 830Subject - Topical Name: Representações de grupos | Grupos lineares algébricos Online Resources:Click here to access online| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA176.SPR. FCT 95141 (Browse shelf) | 1 | Available |
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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.
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