A Finite Quantum Symmetry of M(3,C)

Details A Finite Quantum Symmetry of M(3,C) A Finite Quantum Symmetry of M(3,C)

1997-05-27

arxiv.org/abs/hep-th/9705204v2

Int.J.Mod.Phys. A13 (1998) 4147-4162

Physics

High Energy Physics

High Energy Physics - Theory

Amslatex, 17 pages, only Reference [DHS] modified

Scientific paper

10.1142/S0217751X98001955

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).

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