Gröbner bases for *-algebars and faithful operator representations
Stanislav Popovych, Kyrylo Vynogradov
Abstract
Sufficient conditions for existence of a faithful representation of a *-algebra in terms of its Göbner 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.
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