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math.RA2021★ 1 cited
Lie brackets on Hopf algebra cohomology
Tekin Karadağ, Sarah Witherspoon
By work of Farinati, Solberg, and Taillefer, it is known that the Hopf algebra cohomology of a quasi-triangular Hopf algebra, as a graded Lie algebra under the Gerstenhaber bracket…
math.QA2021
Delta sets and polynomial identities in pointed Hopf algebras
Yuri Bahturin, Sarah Witherspoon
We survey a vast array of known results and techniques in the area of polynomial identities in pointed Hopf algebras. Some new results are proven in the setting of Hopf algebras th…