Advances in Applied Clifford Algebras

, Volume 20, Issue 3, pp 617-629

First online:

About the Structure of Meson Algebras

  • Jacques HelmstetterAffiliated withInstitut Fourier Email author 
  • , Artibano MicaliAffiliated withUniversité Montpellier II

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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).

15A66 15A78 81R05 81R20


Clifford algebras meson algebras (or Duffin-Kemmer algebras) graded algebras and modules interior products algebras motivated by Physics and their representations wave equation