Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two
Rings and Algebras
2009-05-06 v1 Quantum Algebra
Abstract
We classify all noetherian Hopf algebras over an algebraically closed field of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy the condition . The latter condition is conjecturally redundant, as no examples are known (among noetherian Hopf algebra domains of GK-dimension two) where it fails.
Keywords
Cite
@article{arxiv.0905.0621,
title = {Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two},
author = {K. R. Goodearl and J. J. Zhang},
journal= {arXiv preprint arXiv:0905.0621},
year = {2009}
}