On quiver-theoretic description for quasitriangularity of Hopf algebras

Details On quiver-theoretic description for quasitriangularity of Hopf algebras On quiver-theoretic description for quasitriangularity of Hopf algebras

2009-10-11

arxiv.org/abs/0910.2009v1

Journal of Algebra 323 (2010) 2848-2863.

Mathematics

Quantum Algebra

19 pages

Scientific paper

This paper is devoted to the study of the quasitriangularity of Hopf algebras via Hopf quiver approaches. We give a combinatorial description of the Hopf quivers whose path coalgebras give rise to coquasitriangular Hopf algebras. With a help of the quiver setting, we study general coquasitriangular pointed Hopf algebras and obtain a complete classification of the finite-dimensional ones over an algebraically closed field of characteristic 0.

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