A Note on Centralizers and Twisted Centralizers in Clifford Algebras

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-09-17 DOI:10.1007/s00006-024-01345-8

Ekaterina Filimoshina, Dmitry Shirokov

引用次数: 0

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.

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关于克利福德代数中的中心子和扭曲中心子的说明

本文研究退化和非退化克利福德（几何）代数中的中心子和扭曲中心子。我们提供了固定级数子空间、由级数内卷和回归决定的子空间及其直接和的中心子和扭曲中心子的明确形式。这些结果对于克利福德代数在计算机科学、物理学和工程学中的应用非常有用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.