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.
Source: AIP conference proceedings
DOI: 10.1063/1.57119
Authors: R. Coquereaux, G. E. Schieber
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1997288445
