Clifford代数中Lipschitzian元素的各种特征性质

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2023-07-12 DOI:10.1007/s00006-023-01288-6

Jacques Helmstetter

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引用次数: 1

摘要

在大多数情况下，Lipschitz monoid \（\textrm｛Lip｝（V，Q）\）是Clifford代数\（\txtrm｛Cl｝（V，Q））中由V的向量生成的乘法monoid（或半群）。本工作提出了几个特性，并探索了一些使我们能够将一个特性与另一个特性联系起来的方法。

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Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras

In most cases, the Lipschitz monoid \(\textrm{Lip}(V,Q)\) is the multiplicative monoid (or semi-group) generated in the Clifford algebra \(\textrm{Cl}(V,Q)\) by the vectors of V. But the elements of \(\textrm{Lip}(V,Q)\) satisfy many other characteristic properties, very different from one another, which may as well be used as definitions of \(\textrm{Lip}(V,Q)\). The present work proposes several characteristic properties, and explores some of the ways that enable us to link one property to another.

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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.