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July 9, 2026
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A Note on Centralizers and Twisted Centralizers in Clifford Algebras

Advances in Applied Clifford Algebras. 2024. Vol. 34. Article 50.
Filimoshina E., Shirokov D.

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.

Research target: Mathematics
Language: English
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DOI
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Keywords: Clifford algebrageometric algebracentralizerdegenerate Clifford algebratwisted centralizer
Publication based on the results of:
Алгебры Клиффорда и приложения (2024)
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