Advances in Applied Clifford Algebras

, Volume 20, Issue 3, pp 617–629

About the Structure of Meson Algebras

Authors

    • Institut Fourier
  • Artibano Micali
    • Université Montpellier II
Article

DOI: 10.1007/s00006-010-0213-0

Cite this article as:
Helmstetter, J. & Micali, A. Adv. Appl. Clifford Algebras (2010) 20: 617. doi:10.1007/s00006-010-0213-0

Abstract.

We have found an easier and more effective method to describe the structure of meson algebras (also called Duffin-Kemmer algebras) by paying due respect to interior multiplications, to parity gradings and to the quadratic algebra Ω associated with the bilinear form under consideration. Some applications follow, in particular in the context of the meson wave equation, and in the treatment of orthogonal transformations (as restrictions of twisted inner automorphisms). Neutral meson algebras and mesonic interior multiplications lead to further applications, for instance mesonic Lipschitz monoids.

Mathematics Subject Classification (2000).

15A6615A7881R0581R20

Keywords.

Clifford algebrasmeson algebras (or Duffin-Kemmer algebras)graded algebras and modulesinterior productsalgebras motivated by Physics and their representationswave equation

Copyright information

© Springer Basel AG, Switzerland 2010