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arXiv · 0910.2009

On quiver-theoretic description for quasitriangularity of Hopf algebras

Hua-Lin Huang·Gongxiang Liu
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Abstract

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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BibTeXRIS

Hua-Lin Huang, Gongxiang Liu. 2009-10-11. On quiver-theoretic description for quasitriangularity of Hopf algebras. https://arxiv.org/abs/0910.2009

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