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.
Cite this article
Colin Mrozinski, Quantum groups of GL(2) representation type. J. Noncommut. Geom. 8 (2014), no. 1, pp. 107–140DOI 10.4171/JNCG/150