The cohomology of monogenic extensions in the noncommutative setting

2007/02/13 by Farinati, Marco, Guccione, Jorge A., Guccione, Juan J.
#16E40 #16S36 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.math/0702390

Abstract

We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an aplication we complete the computation of the cohomology ring of the rank one Hopf algebras beggined in [S. M. Burciu and S. J. Witherspoon, Hochschild cohomology of smash products and rank one Hopf algebras].

Related

• The cyclic homology of monogenic extensions in the noncommutative setting
• Hochschild cohomology of smash products and rank one Hopf algebras
• Hochschild cohomology of a smash product in the nonsemisimple case
• Applications of the change-of-rings spectral sequence to the computation of Hochschild cohomology
• Braided Hochschild cohomology and Hopf actions