Graded Morita Equivalence of Clifford Superalgebras
Graded Morita Equivalence of Clifford Superalgebras
复制标题
Clifford 超代数的分级 Morita 等价
DOI：
10.1007/s00006-012-0340-x
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发表时间：
2011
影响因子：
1.5
通讯作者：
Deke Zhao
中科院分区：
文献类型：
--
作者：
Deke Zhao
本文利用有限维超代数的分次Morita理论的一个变形，明确地确定了所有真实的和复Clifford超代数的分次基本超代数.作为应用，给出了所有真实的和复Clifford超代数上的左$${\martbb {Z}_2}$$-分次模范畴的Grothendieck群.
This note uses a variation of graded Morita theory for finite dimensional superalgebras to determine explicitly the graded basic superalgebras for all real and complex Clifford superalgebras. As an application, the Grothendieck groups of the category of left $${\mathbb{Z}_2}$$-graded modules over all real and complex Clifford superalgebras are described explicitly.