Abstract
We define and study a wide class of associative algebras in which the Poincaré-Birkhoff-Witt theorem is valid. This class includes numerous quantum algebras which recently appeared.
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Communicated by A. Connes
This work was supported by the Laboratoire d'Analyse Fonctionnelle et Probabilités, Institut de Mathématiques et Informatique, 43, bd du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France
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Berger, R. The quantum Poincaré-Birkhoff-Witt theorem. Commun.Math. Phys. 143, 215–234 (1992). https://doi.org/10.1007/BF02099007
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DOI: https://doi.org/10.1007/BF02099007