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Brauer–Clifford group of (S,G,H)-Azumaya comodule algebras
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-06-05 , DOI: 10.1080/00927872.2020.1764574
T. Guédénon 1
Affiliation  

Abstract In this paper, we extend the notion of the Brauer–Clifford group to the case of an -comodule algebra, where H is a commutative Hopf algebra, is a Lie algebra in the symmetric monoidal category of right H-comodules, and S is a commutative algebra which is an H-comodule algebra, a -module algebra and the H-coaction is compatible with the -action. This Brauer–Clifford group turns out to be an example of the Brauer group of a symmetric monoidal category.

中文翻译:

(S,G,H)-Azumaya 余模代数的 Brauer-Clifford 群

摘要 在本文中,我们将 Brauer-Clifford 群的概念扩展到 -comodule 代数的情况,其中 H 是交换 Hopf 代数,是右 H 余模对称幺半群中的李代数,S 是一个交换代数,它是一个 H-comodule 代数,一个 -module 代数,并且 H-coaction 与 -action 兼容。这个 Brauer-Clifford 群被证明是对称幺半群范畴的 Brauer 群的一个例子。
更新日期:2020-06-05
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