A Note on Centralizers and Twisted Centralizers in Clifford Algebras

被引：0
|
作者：
Filimoshina, Ekaterina [1 ,2 ]
Shirokov, Dmitry [1 ,3 ]
机构：
[1] HSE Univ, Moscow 101000, Russia
[2] Skolkovo Inst Sci & Technol, Moscow 121205, Russia
[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 127051, Russia
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2024年 / 34卷 / 05期
关键词：
Clifford algebra; geometric algebra; degenerate Clifford algebra; centralizer; twisted centralizer;
D O I：
10.1007/s00006-024-01345-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates centralizers and twisted centralizers in degenerate and non-degenerate Clifford (geometric) algebras. We provide an explicit form of the centralizers and twisted centralizers of the subspaces of fixed grades, subspaces determined by the grade involution and the reversion, and their direct sums. The results can be useful for applications of Clifford algebras in computer science, physics, and engineering.
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页数：22
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