Browsing by Subject "Hochschild cohomology"

Now showing items 1-5 of 5

    • Brackets on Hochschild cohomology of Noncommutative Algebras 
      Grimley, Lauren Elizabeth (2016-04-08)
      The Hochschild cohomology of an associative algebra is a Gerstenhaber algebra, having a graded ring structure given by the cup product and a compatible graded Lie algebra structure given by the Gerstenhaber bracket. The ...
    • Deformations of Quantum Symmetric Algebras Extended by Groups 
      Shakalli Tang, Jeanette (2012-07-16)
      The study of deformations of an algebra has been a topic of interest for quite some time, since it allows us to not only produce new algebras but also better understand the original algebra. Given an algebra, finding all ...
    • GERSTENHABER BRACKET ON HOPF ALGEBRA COHOMOLOGY 
      Karadag, Tekin (2021-05-26)
      M. A. Farinati, A. Solotar, and R. Taillefer showed that the Hopf algebra cohomology of a quasi-triangular Hopf algebra, as a graded Lie algebra under the Gerstenhaber bracket, is abelian. Motivated by the question of ...
    • On the cohomology of joins of operator algebras 
      Husain, Ali-Amir (Texas A&M University, 2004-09-30)
      The algebra of matrices M with entries in an abelian von Neumann algebra is a C*-module. C*-modules were originally defined and studied by Kaplansky and we outline the foundations of the theory and particular properties ...
    • On the Lie Algebra Structure on Hochschild Cohomology of Koszul Quiver Algebras 
      Oke, Tolulope Nathaneal (2021-07-23)
      We present the Gerstenhaber algebra structure on Hochschild cohomology of Koszul algebras defined by quivers and relations using the idea of homotopy liftings. There is a canonical way of constructing a minimal (graded) ...