Gr\"obner bases for *-algebars and faithful operator representations
Operator Algebras
2007-05-23 v2
Abstract
Sufficient conditions for existence of a faithful representation of a *-algebra in terms of its G\"obner basis is presented. Proposed construction of faithful representation is applicable to concrete examples: *-doubles, monomial *-algebras, extension of a *-algebras allowing Wick ordering and others. Several examples and counterexamples are presented.
Keywords
Cite
@article{arxiv.math/0407419,
title = {Gr\"obner bases for *-algebars and faithful operator representations},
author = {Stanislav Popovych and Kyrylo Vynogradov},
journal= {arXiv preprint arXiv:math/0407419},
year = {2007}
}