A Morita equivalence theorem for Hecke algebra ℋq(Dn) when n is even

被引:0
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作者
Jun Hu
机构
[1] Department of Applied Mathematics,
[2] Beijing Institute of Technology,undefined
[3] Beijing 100081,undefined
[4] P. R. China; and,undefined
[5] Morningside center of Mathematics,undefined
[6] Academy of Mathematics and System Sciences,undefined
[7] Chinese Academy of Sciences,undefined
[8] Beijing 100080,undefined
[9] P. R. China. e-mail: junhu303@yahoo.com.cn,undefined
来源
manuscripta mathematica | 2002年 / 108卷
关键词
Equivalence Theorem;
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摘要
 In this paper we prove a Morita equivalence theorem for Hecke algebras of type Dn when n is even, which generalize a similar result obtained by C. Pallikaros ([P, (3.7)]) when n is odd. As a consequence, we construct all the irreducible ℋq(Dn)-modules when fn(q)≠ 0 (see [P, (2.12)] for definition of fn(q)) and show that ℋq(Dn) is split in this case.
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页码:409 / 430
页数:21
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