Quantum groups of GL(2) representation type

Details Quantum groups of GL(2) representation type Quantum groups of GL(2) representation type

2012-01-17

arxiv.org/abs/1201.3494v1

Mathematics

Quantum Algebra

27 pages

Scientific paper

We classify the cosemisimple Hopf algebras whose corepresentation semi-ring
is isomorphic to that of GL(2). This leads us to define a new family of Hopf
algebras which generalize the quantum similitude group of a non-degenerate
bilinear form. A detailed study of these Hopf algebras gives us an isomorphic
classification and the description of their corepresentation categories.

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