17 citations · 83 across the 28 of their papers we have counts for
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Geometry of the reduced quantum plane
R. Coquereaux, A. O. Garcia, R. Trinchero
We consider the space M of NxN matrices as a reduced quantum plane and discuss its geometry under the action and coaction of finite dimensional quantum groups (a quotient of U_q(SL…
Differential calculus and connections on a quantum plane at a cubic root of unity
R. Coquereaux, A. O. Garcia, R. Trinchero
We consider the algebra of N x N matrices as a reduced quantum plane on which a finite-dimensional quantum group H acts. This quantum group is a quotient of U_q(sl(2,C)), q being a…
Non-Commutative Corepresentations of Quantum Groups
H. Montani, R. Trinchero
We consider a twisted version of quantum groups corepresentations. This generalization amounts to include in the theory the case where quantum space coordinates and its endomorphis…
Finite dimensional quantum group covariant differential calculus on a complex matrix algebra
R. Coquereaux, A. O. Garcia, R. Trinchero
Using the fact that the algebra M(3,C) of 3 x 3 complex matrices can be taken as a reduced quantum plane, we build a differential calculus Omega(S) on the quantum space S defined b…