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Schur Algebra

Schur Algebra

Paperback

General Mathematics

Currently unavailable to order

ISBN10: 6131156611
ISBN13: 9786131156618
Publisher: Vdm Verlag Dr Mller Ag & Co Kg
Pages: 98
Weight: 0.34
Height: 0.23 Width: 9.02 Depth: 6.00
Language: English
High Quality Content by WIKIPEDIA articles! In mathematics, Schur algebras, named after Issai Schur, are certain finite-dimensional algebras closely associated with Schur-Weyl duality between general linear and symmetric groups. They are used to relate the representation theories of those two groups. Their use was promoted by the influential monograph of J. A. Green first published in 1980. The name Schur algebra is due to Green. In the modular case (over infinite fields of positive characteristic) Schur algebras were used by Gordon James and Karin Erdmann to show that the (still open) problems of computing decomposition numbers for general linear groups and symmetric groups are actually equivalent. Schur algebras were used by Friedlander and Suslin to prove finite generation of cohomology of finite group schemes.

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General Mathematics