Gröbner bases for *-algebars and faithful operator representations

Details Gröbner bases for *-algebars and faithful operator representations Gröbner bases for *-algebars and faithful operator representations

2004-07-24

arxiv.org/abs/math/0407419v2

Mathematics

Operator Algebras

Scientific paper

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.

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