A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$-Reference-Cited by-同舟云学术

A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$

Published:1998-09-30 Issue:24 Volume:13 Page:4147-4161
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

DABROWSKI LUDWIK¹,NESTI FABRIZIO¹,SINISCALCO PASQUALE¹

Affiliation:

1. SISSA, Via Beirut 2-4, Trieste, 34014, Italy

Abstract

The 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups [Formula: see text], [Formula: see text], is studied as a finite quantum group symmetry of the matrix algebra [Formula: see text], 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 [Formula: see text] and two commuting representation of ℋ on A(F).

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X98001955

Reference8 articles.

1. The Spectral Action Principle

2. Gravity coupled with matter and the foundation of non-commutative geometry

3. Some remarks on exact sequences of quantum groups

4. Quantum homogeneous spaces as quantum quotient spaces

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