Symplectic, Orthogonal and Linear Lie Groups in Clifford Algebra

被引：0
作者：
D. S. Shirokov
机构：
[1] A.A. Kharkevich Institute for Information Transmission Problems,
[2] Russian Academy of Sciences,undefined
[3] N.E. Bauman Moscow State Technical University,undefined
来源：
Advances in Applied Clifford Algebras | 2015年 / 25卷
关键词：
Clifford algebra; symplectic group; orthogonal group; linear group; Lie group; Lie algebra; spin group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms of corresponding Lie algebras.
引用
收藏
页码：707 / 718
页数：11
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