Simple ambiskew polynomial rings
Rings and Algebras
2013-01-24 v1
Abstract
We determine simplicity criteria in characteristics 0 and for a ubiquitous class of iterated skew polynomial rings in two indeterminates over a base ring. One obstruction to simplicity is the possible existence of a canonical normal element . In the case where this element exists we give simplicity criteria for the rings obtained by inverting and the rings obtained by factoring out the ideal generated by . The results are illustrated by numerous examples including higher quantized Weyl algebras and generalizations of some low-dimensional symplectic reflection algebras.
Cite
@article{arxiv.1301.5560,
title = {Simple ambiskew polynomial rings},
author = {David A. Jordan and Imogen E. Wells},
journal= {arXiv preprint arXiv:1301.5560},
year = {2013}
}