Extensions of finite quantum groups by finite groups

NICOLÁS ANDRUSKIEWITSCH Y GASTÓN ANDRÉS GARCÍA

TRANSFORMATION GROUPS

Año: 2007

1083-4362

We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphism between the Hopf algebras constructed by the authors in "Quantum subgroups of a simple quantum group at roots of 1" (see preprint: arXiv:0707.0070v1). Finally, we apply the first general result to show the existence of infinitely many non-isomorphic Hopf algebras of the same dimension, presented as extensions of finite quantum groups by finite groups.