介子代数及其 Lipschitz Monoids 的最新进展

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-09-10 DOI:10.1007/s00006-024-01354-7

Jacques Helmstetter

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引用次数: 0

摘要

本文有两个目的。在简要回顾介子代数（又称达芬-基默代数）的经典性质之后，第 4 节至第 7 节介绍了介子代数结构研究的最新进展。第 4 节至第 7 节介绍了介子代数结构研究的最新进展。然后是第 8 至 11 节。第 8 节至第 11 节解释了每个介子代数都包含一个 Lipschitz 单调体，其性质与克利福德代数中 Lipschitz 单调体的性质十分相似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Recent Advances for Meson Algebras and their Lipschitz Monoids

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Recent Advances for Meson Algebras and their Lipschitz Monoids

This article has two purposes. After a short reminder of classical properties of meson algebras (also called Duffin-Kemmer algebras), Sects. 4 to 7 present recent advances in the study of their algebraic structure. Then Sects. 8 to 11 explain that each meson algebra contains a Lipschitz monoid with properties quite similar to those of Lipschitz monoids in Clifford algebras.

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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.