The 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups A(SL(2,C)) −→ A(SLq(2)) −→ A(F), q = e 3 , 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).
A Finite quantum symmetry of M(3,c)
NESTI, FABRIZIO;
1998-01-01
Abstract
The 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups A(SL(2,C)) −→ A(SLq(2)) −→ A(F), q = e 3 , 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).File in questo prodotto:
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