3 papers
math.QA2020
Finite generation of cohomology for Drinfeld doubles of finite group schemes
Cris Negron
We prove that the Drinfeld double of an arbitrary finite group scheme has finitely generated cohomology. That is to say, for G any finite group scheme, and D(G) the Drinfeld double…
math.RA2019
Pointed Hopf actions on central simple division algebras
Pavel Etingof, Cris Negron
We examine actions of finite-dimensional pointed Hopf algebras on central simple division algebras in characteristic 0. (By a Hopf action we mean a Hopf module algebra structure.)…
math.QA2017
Twists of quantum Borel algebras
Cris Negron
We classify Drinfeld twists for the quantum Borel subalgebra u_q(b) in the Frobenius-Lusztig kernel u_q(g), where g is a simple Lie algebra over C and q an odd root of unity. More…