Presenting queer Schur superalgebras
Presenting queer Schur superalgebras
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DOI：
10.1093/imrn/rnt262
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发表时间：
2013-07
期刊：
影响因子：
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通讯作者：
J. Du;Jinkui Wan
中科院分区：
文献类型：
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作者：
J. Du;Jinkui Wan
与这两类有限维单超代数相联系的是一般线性李超代数和奇异李超代数。这些李超代数的泛包络代数作用于自然表象的张量空间，从而定义了某些有限维的等价物，舒尔超代数和奇异舒尔超代数。本文引入了奇异Schur超代数的量子模拟，并研究了奇异Schur超代数及其量子模拟的表示问题。
Associated to the two types of finite dimensional simple superalgebras, there are the general linear Lie superalgebra and the queer Lie superalgebra. The universal enveloping algebras of these Lie superalgebras act on the tensor spaces of the natural representations and, thus, define certain finite dimensional quotients, the Schur superalgebras and the queer Schur superalgebra. In this paper, we introduce the quantum analogue of the queer Schur superalgebra and investigate the presentation problem for both the queer Schur superalgebra and its quantum analogue.