Advertisement

Advances in Applied Clifford Algebras

, Volume 18, Issue 2, pp 153–196 | Cite as

Interior Multiplications and Deformations with Meson Algebras

  • Jacques HelmstetterEmail author
Article

Abstract.

A meson algebra is involved in the Duffin wave equation for mesons in the same way as a Clifford algebra is involved in the Dirac wave equation for electrons. Therefore meson algebras too should have geometrical properties after the manner of Grassmann. Actually it is possible to define interior multiplications with similar properties, and deformations too. Every meson algebra is a deformation of a neutral meson algebra, in the same way as (almost) every Clifford algebra is a deformation of an exterior algebra. Some applications follow: the PBW-property is proved for all meson algebras, the injectiveness of Jacobson’s diagonal morphism is proved with the minimal hypothesis, and the existence of Lipschitz monoids is established at least for meson algebras over fields.

Mathematics Subject Classification (2000).

15A63 15A66 15A78 16S80 

Keywords.

Interior products Clifford algebras other algebras built from modules deformations of algebras 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhauser 2008

Authors and Affiliations

  1. 1.Institut Fourier (Mathématiques)Université de Grenoble ISaint-Martin d’HèresFrance

Personalised recommendations