Quantum groups of GL(2) representation type
Quantum Algebra
2012-01-18 v1 Rings and Algebras
Abstract
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
@article{arxiv.1201.3494,
title = {Quantum groups of GL(2) representation type},
author = {Colin Mrozinski},
journal= {arXiv preprint arXiv:1201.3494},
year = {2012}
}
Comments
27 pages