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Mathematics > Rings and Algebras

Title: A Note on Centralizers and Twisted Centralizers in Clifford Algebras

Authors: E. R. Filimoshina, D. S. Shirokov
(Submitted on 23 Apr 2024)
Abstract: 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.
Comments: 18 pages
Subjects: Rings and Algebras (math.RA); Mathematical Physics (math-ph)
MSC classes: 15A66, 11E88
Cite as: arXiv:2404.15169 [math.RA]
  (or arXiv:2404.15169v1 [math.RA] for this version)

Submission history

From: Dmitry Shirokov [view email]
[v1] Tue, 23 Apr 2024 16:07:40 GMT (33kb)
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