Clifford algebras, meson algebras and higher order generalisations
Quantum Algebra
2026-02-19 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We analyse the homogeneous parts of Clifford and meson algebras and point out that for the Clifford algebra it is related to fermionic statistics, that is, to fermionic parastatistics of order 1 while for the meson algebra it is related to fermionic parastatistics of order 2. We extend these homogeneous algebras into corresponding algebras related to fermionic parastatistics of all orders. We then define correspondingly higher order generalizations of Clifford and meson algebras.
Keywords
Cite
@article{arxiv.2602.09603,
title = {Clifford algebras, meson algebras and higher order generalisations},
author = {Michel Dubois-Violette and Blas Torrecillas},
journal= {arXiv preprint arXiv:2602.09603},
year = {2026}
}
Comments
17 pages, some minor misprints corrected