UNIVERSAL QUANTUM GROUPS

Author:

DAELE ALFONS VAN1,WANG SHUZHOU1

Affiliation:

1. Department of Mathematics, University of Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium

Abstract

For each invertible m×m matrix Q a compact matrix quantum group Au(Q) is constructed. These quantum groups are shown to be universal in the sense that any compact matrix quantum group is a quantum subgroup of some of them. Their orthogonal version Ao(Q) is also constructed. Finally, we discuss related constructions in the literature.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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