Basic Hopf algebras and quantum groups
Copyright policy )Basic Hopf algebras and quantum groups
The main objective of the paper is to study and classify the quiver algebras which have a Hopf algebra structure. In this there is a big intersection with the work of Cibils and Rosso. Nevertheless the approach and language is quite distinct. Also here finite dimensional quotients are studied. The authors also make use very heavily of the group ring structure on the semisimple part of the algebra and the classification uses the action of the group. They also show connections to the theory of coverings.
- Norwegian University of Science and Technology Norway
- Virginia Tech United States
group actions, coverings, quiver algebras, Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Hopf algebras (associative rings and algebras), basic finite dimensional Hopf algebras
group actions, coverings, quiver algebras, Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Hopf algebras (associative rings and algebras), basic finite dimensional Hopf algebras
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