17 citations · 20 across the 4 of their papers we have counts for
4 papers
Deformed commutators on quantum group module-algebras
A. O. Garcia
We construct quantum commutators on module-algebras of quasi-triangular Hopf algebras. These are quantum-group covariant, and have generalized antisymmetry and Leibniz properties.…
Hopf stars, twisted Hopf stars and scalar products on quantum spaces
R. Coquereaux, A. O. Garcia, R. Trinchero
The properties of Hopf star operations and twisted Hopf stars operations on quantum groups are discussed in relation with the theory of representations (star representations). Inva…
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…