Rigidity of down-up algebras with respect to finite group coactions
Rings and Algebras
2016-06-28 v1
Abstract
If a nontrivial finite group coacts on a graded noetherian down-up algebra inner faithfully and homogeneously, then the fixed subring is not isomorphic to . Therefore graded noetherian down-up algebras are rigid with respect to finite group coactions, in the sense of Alev-Polo. An example is given to show that this rigidity under group coactions does not have all the same consequences as the rigidity under group actions.
Cite
@article{arxiv.1606.08428,
title = {Rigidity of down-up algebras with respect to finite group coactions},
author = {J. Chen and E. Kirkman and J. J. Zhang},
journal= {arXiv preprint arXiv:1606.08428},
year = {2016}
}
Comments
14 pages