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Recent Advances for Meson Algebras and their Lipschitz Monoids
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2024-09-10 , DOI: 10.1007/s00006-024-01354-7
Jacques Helmstetter

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.



中文翻译:


介子代数及其 Lipschitz 幺半群的最新进展



这篇文章有两个目的。在简短提醒介子代数(也称为 Duffin-Kemmer 代数)的经典性质之后,Sects。图4至图7展示了其代数结构研究的最新进展。然后是宗派。图 8 到 11 解释了每个介子代数都包含一个 Lipschitz 幺半群,其性质与 Clifford 代数中的 Lipschitz 幺半群非常相似。

更新日期:2024-09-10
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