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Hecke Algebras with Unequal Parameters (Crm Monograph Series)

G. Lusztig




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 | #5929573 in Books |  2003-02-04 | Original language:English |  10.50 x7.25 x.50l,1.05 | File type: PDF | 136 pages

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Hecke algebras arise in representation theory as endomorphism algebras of induced representations. One of the most important classes of Hecke algebras is related to representations of reductive algebraic groups over $p$-adic or finite fields. In 1979, in the simplest (equal parameter) case of such Hecke algebras, Kazhdan and Lusztig discovered a particular basis (the KL-basis) in a Hecke algebra, which is very important in studying relations between representation theory...

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