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- W2732564623 abstract "Let n⩾4 be an even integer. Let K be a field with charK≠2 and q an invertible element in K such that ∏i=1n−1(1+qi)≠0. In this paper, we study the decomposition numbers over K of the Iwahori–Hecke algebra Hq(Dn) of type Dn. We obtain some equalities which relate its decomposition numbers with certain Schur elements and the decomposition numbers of various Iwahori–Hecke algebras of type A with the same parameter q. When charK=0, this completely determine all of its decomposition numbers. The main tools we used are the Morita equivalence theorem established in [J. Hu, A Morita equivalence theorem for Hecke algebra Hq(Dn) when n is even, Manuscripta Math. 108 (2002) 409–430] and certain twining character formulae of Weyl modules over a tensor product of two q-Schur algebras." @default.
- W2732564623 created "2017-07-14" @default.
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- W2732564623 date "2009-02-01" @default.
- W2732564623 modified "2023-10-16" @default.
- W2732564623 title "On the decomposition numbers of the Hecke algebra of type <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi>D</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> when n is even" @default.
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- W2732564623 doi "https://doi.org/10.1016/j.jalgebra.2008.11.009" @default.
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