A Finite Quantum Symmetry of M(3,C)
High Energy Physics - Theory
2009-10-30 v2 Quantum Algebra
q-alg
Abstract
The 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups A(SL(2,C))->A(SL_q(2))->A(F), q^3=1, is studied as a finite quantum group symmetry of the matrix algebra M(3,C), describing the color sector of Alain Connes' formulation of the Standard Model. The duality with the Hopf algebra H,investigated in a recent work by Robert Coquereaux, is established and used to define a representation of H on M(3,C) and two commuting representations of H on A(F).
Cite
@article{arxiv.hep-th/9705204,
title = {A Finite Quantum Symmetry of M(3,C)},
author = {Ludwik Dabrowski and Fabrizio Nesti and Pasquale Siniscalco},
journal= {arXiv preprint arXiv:hep-th/9705204},
year = {2009}
}
Comments
Amslatex, 17 pages, only Reference [DHS] modified