Graded Brauer Groups.

Graded Brauer Groups.
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DOI:
10.1515/crll.1964.213.187
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发表时间:
1964
期刊:
Journal für die reine und angewandte Mathematik (Crelles Journal)
影响因子:
--
通讯作者:
C. Wall
C. Wall
中科院分区:
其他
文献类型:
--
作者:
C. Wall

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本文是基于这样的观察而产生的:克利福德代数作为二次形式的不变量的定义由于以下事实而变得尴尬:对应于两个二次形式的正交直和的代数不仅仅是它们单独的克利福德代数的张量积。事实上,众所周知,Clifford 代数承认分级模 2,我们必须考虑分级张量积。
This paper arose out of the observation that the definitiori of a Clifford algebra äs an invariant of a quadratic form is made awkward by the fact that the algebra eorresponding to the orthogonal direct sum of two quadratic forms is not simply the tensor product of their separate Clifford algebras. In fact, äs is well known, the Clifford algebra admits a grading modulo 2, and we must consider the graded tensor product.