Matrix units and primitive idempotents for the Hecke algebra of type Dn
Matrix units and primitive idempotents for the Hecke algebra of type Dn
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DOI：
10.1016/j.jpaa.2021.106867
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Huanmei Sun
中科院分区：
文献类型：
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作者：
Jun Hu;Shixuan Wang;Huanmei Sun
Let Hq(Dn) be the semisimple Hecke algebra of type Dn with Hecke parameter q. For each simple Hq(Dn)-module V, we use the Hecke generators of Hq(Dn) to construct explicitly a quasi-idempotentwhich is defined over a natural integral form of Hq(Dn). We use the seminormal bases of the Hecke algebra Hq(Bn) of type Bn to construct a complete set of pairwise orthogonal primitive idempotents of Hq(Dn), to obtain an explicit seminormal basis of Hq(Dn) as well as a new seminormal construction for each simple module over Hq(Dn).
