Nichols algebras over groups with finite root system of rank two I

[摘要] We study Nichols algebras of direct sums of two absolutely simple Yetter-Drinfeld modules over non-abelian groups and arbitrary fields. We construct families of new examples, where the Nichols algebra is finite-dimensional and not of diagonal type. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-12-01

[关键词] Hopf algebra;Quantum group;Root system;Weyl group