• Gerstenhaber algebra structure on the cohomology of a hom-associative algebra

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      https://www.ias.ac.in/article/fulltext/pmsc/130/0020

    • Keywords

       

      Gerstenhaber algebra; hom-algebra; Hochschild cohomology; cup-product

    • Abstract

       

      A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. In this paper, we define a cup product on the cohomology of a hom-associative algebra. A direct verification shows that this cup product together with the degree−1 graded Lie bracket (which controls the deformation of the hom-associative algebra structure) on the cohomology makes it a Gerstenhaber algebra.

    • Author Affiliations

       

      APURBA DAS1

      1. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208 016, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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