Poset structure of torus-invariant prime spectra of CGL extensions
Quantum Algebra
2012-03-14 v1
Abstract
A key theorem of Yakimov's proves that the torus-invariant prime spectra of De Concini-Kac-Procesi algebras are isomorphic as partially ordered sets to corresponding Bruhat order intervals of Weyl groups. We present examples of more general Cauchon-Goodearl-Letzter (CGL) extensions which exhibit this same phenomenon. To accomplish this, we develop a procedure for iteratively constructing poset isomorphisms between torus-invariant prime spectra of CGL extensions and Bruhat order intervals of Coxeter groups.
Keywords
Cite
@article{arxiv.1203.2684,
title = {Poset structure of torus-invariant prime spectra of CGL extensions},
author = {Christopher Nowlin},
journal= {arXiv preprint arXiv:1203.2684},
year = {2012}
}
Comments
26 pages