Hochschild cohomology of group extensions of quantum symmetric algebras Academic Article uri icon


  • Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this bimodule algebra is a finite group extension (under a diagonal action) of a quantum symmetric algebra, we give explicitly the graded vector space structure. This yields a complete description of the Hochschild cohomology ring of the corresponding skew group algebra. 2010 American Mathematical Society.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Naidu, D., Shroff, P., & Witherspoon, S.

citation count

  • 10

complete list of authors

  • Naidu, Deepak||Shroff, Piyush||Witherspoon, Sarah

publication date

  • May 2011