Abstract

REYES, Armando  and  SUAREZ, Héctor. BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARE-BIRKHOFF-WITT EXTENSIONS. Momento [online]. 2017, n.54, pp.54-75. ISSN 0121-4470.

Abstract Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an algebraic structure, defined by variables and relations between them, can be expressed as a skew PBW extension, so that the base of the structure is determined. Finally, we illustrate our treatment with examples concerning quantum physics.

Keywords : Quantum algebras; skew Poincare-Birkhoff-Witt extensions; diamond lemma.

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