A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$
@article{Dabrowski1997AFQ, title={A FINITE QUANTUM SYMMETRY OF \$M(3, \{\Bbb C\})\$}, author={L. Da̧browski and F. Nesti and P. Siniscalco}, journal={International Journal of Modern Physics A}, year={1997}, volume={13}, pages={4147-4161} }
The 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups , , is studied as a finite quantum group symmetry of the matrix algebra , 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 and two commuting representation of ℋ on A(F).
23 Citations
Differential calculus and connections on a quantum plane at a cubic root of unity
- Mathematics, Physics
- 1998
- 32
- PDF
Finite dimensional quantum group covariant differential calculus on a complex matrix algebra
- Physics, Mathematics
- 1998
- 12
- PDF
References
SHOWING 1-10 OF 24 REFERENCES
Explicit Hopf-Galois description of $SL_{e^{2iπ/3}}$-induced Frobenius homomorphisms
- Mathematics, Physics
- 1997
- 13
- PDF
Gravity coupled with matter and the foundation of non-commutative geometry
- Mathematics, Physics
- 1996
- 772
- PDF