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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/06/0947-0961

    • 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

       
      Published
      June 2012

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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