Bialgebra cohomology, pointed Hopf algebras, and deformations Academic Article uri icon


  • We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism to be surjective. We apply these results to compute all bialgebra two-cocycles of certain Radford biproducts (bosonizations). These two-cocycles are precisely those associated to the finite dimensional pointed Hopf algebras in the recent classification of Andruskiewitsch and Schneider, in an interpretation of these Hopf algebras as graded bialgebra deformations of Radford biproducts. 2008 Elsevier B.V. All rights reserved.

published proceedings

  • Journal of Pure and Applied Algebra

author list (cited authors)

  • Mastnak, M., & Witherspoon, S.

citation count

  • 12

complete list of authors

  • Mastnak, Mitja||Witherspoon, Sarah

publication date

  • January 2009