Linear operators in Clifford algebras |
| |
Authors: | M Laoues |
| |
Institution: | (1) Laboratoire de Physique Mathématique, Université Montpellier II, Sciences et Techniques du Languedoc, 34095 Montpellier Cedex 5, France |
| |
Abstract: | We consider the real vector space structure of the algebra of linear endomorphisms of a finite-dimensional real Clifford algebra (2, 4, 5, 6, 7, 8). A basis of that space is constructed in terms of the operators M
eI, eJ
defined by x e
I
· x · e
J
, where the e
I
are the generators of the Clifford algebra and I is a multi-index (3, 7).In particular, it is shown that the family (M
eI, eJ
) is exactly a basis in the even case. |
| |
Keywords: | 15A66 |
本文献已被 SpringerLink 等数据库收录! |
|