Demonstration representation and tensor products of Clifford algebras

被引：10

作者：

Marchuk, N. G. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2015年 / 290卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Tensor Product; STEKLOV Institute; Commutative Algebra; Clifford Algebra; Demonstration Representation;

D O I：

10.1134/S0081543815060139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the tensor product of any Clifford algebras is isomorphic to a single Clifford algebra over some commutative algebra. It is also proved that any complex or real Clifford algebra C(p, q) can be represented as a tensor product of Clifford algebras of the second and first orders. A canonical form of such a representation is proposed.

引用

页码：143 / 154

页数：12

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