Work

Action of finite quantum group on the algebra of complex N×N matrices

Year: 1998
Type: conference-paper
Abstract: Using the fact that the algebra M≐MN(C) of N×N complex matrices can be considered as a reduced quantum plane, and that it is a module algebra for a finite dimensional Hopf algebra quotient H of Uqsl(2) when q is a root of unity, we reduce this algebra M of matrices (assuming N odd) into indecomposable modules for H. We also show how the same finite dimensional quantum group acts on the space of generalized differential forms defined as the reduced Wess Zumino complex associated with the algebra M.
Language: English
Open Access status: green
OpenAlex ID: W1997288445
FWCI: 3.056
Cites: 7
Cited by: 6
Related to: 10