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    • Keywords


      Koszul duality; Koszul algebras; Gorenstein property; PBW property; Lie prealgebras; quantum field theory.

    • Abstract


      We discuss the notion of Poincaré duality for graded algebras and its connections with the Koszul duality for quadratic Koszul algebras. The relevance of the Poincaré duality is pointed out for the existence of twisted potentials associated to Koszul algebras as well as for the extraction of a good generalization of Lie algebras among the quadratic-linear algebras.

    • Author Affiliations


      Michel Dubois-Violette1

      1. Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris Sud 11, Bâtiment 210, F-91 405 Orsay Cedex, France
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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