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Gröbner bases for *-algebars and faithful operator representations

Stanislav Popovych·Kyrylo Vynogradov
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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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Stanislav Popovych, Kyrylo Vynogradov. 2006-01-22. Gröbner bases for *-algebars and faithful operator representations. https://arxiv.org/abs/math/0407419

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