YetterDrinfeld modules under cocycle twists Academic Article uri icon


  • We give an explicit formula for the correspondence between simple Yetter-Drinfeld modules for certain finite-dimensional pointed Hopf algebras H and those for cocycle twists H of H. This implies an equivalence between modules for their Drinfeld doubles. To illustrate our results, we consider the restricted two-parameter quantum groups ur,s(sln) under conditions on the parameters guaranteeing that ur,s(sln) is a Drinfeld double of its Borel subalgebra. We determine explicit correspondences between ur,s(sln)-modules for different values of r and s and provide examples where no such correspondence can exist. Our examples were obtained via the computer algebra system Singular::Plural. 2009 Elsevier Inc.

published proceedings

  • Journal of Algebra

author list (cited authors)

  • Benkart, G., Pereira, M., & Witherspoon, S.

citation count

  • 7

complete list of authors

  • Benkart, Georgia||Pereira, Mariana||Witherspoon, Sarah

publication date

  • January 2010