Polynomial Representations of Gln 2024 pdf epub mobi 电子书

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发表于2024-12-04

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出版者:Springer Verlag

作者:Green, J. A.

出品人:

页数:176

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出版时间:

价格:$ 56.44

装帧:Pap

isbn号码:9783540469445

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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 representation 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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