English

Hopf algebras of GK-dimension two with vanishing Ext-group

Rings and Algebras 2011-05-03 v1

Abstract

We construct and study a family of finitely generated Hopf algebra domains HH of Gelfand-Kirillov dimension two such that \ExtH1(k,k)=0\Ext^1_H(k,k)=0. Consequently, we answer a question of Goodearl and the second-named author.

Keywords

Cite

@article{arxiv.1105.0033,
  title  = {Hopf algebras of GK-dimension two with vanishing Ext-group},
  author = {D. -G. Wang and J. J. Zhang and G. Zhuang},
  journal= {arXiv preprint arXiv:1105.0033},
  year   = {2011}
}