The inifinitesimal and the little q-Schur superalgebra
The inifinitesimal and the little q-Schur superalgebra
复制标题
无穷小和小 q-Schur 超代数
DOI：
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发表时间：
2017
影响因子：
0.7
通讯作者：
Jianpan Wang
中科院分区：
文献类型：
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作者：
Xiaoyu Chen;Haixia Gu;Jianpan Wang
本文在文献[8]的基础上，给出了q-Schur超代数的单项式基，并给出了它的一种表示，这种表示与文献[12]中的表示不同。仿照[3]和[7]，我们定义了无穷小超代数和littleq-Schur超代数。给出了无穷小q-Schur超代数的一个“权幂等表示”。得到了小q-Schur超代数的BLM基和单项式基，并导出了无穷小和小q-Schur超代数的维数公式.
In this paper, based on the results in [8] , we give a monomial basis for q-Schur superalgebra and then a presentation for it. The presentation is different from that in [12]. Imitating [3] and [7], we define the infinitesimal and the littleq-Schur superalgebras. We give a “weight idempotent presentation” for infinitesimal q-Schur superalgebras. The BLM bases and monomial bases of little q-Schur superalgebras are obtained, and dimension formulas of infinitesimal and little q-Schur superalgebras are deduced.