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math.RT2022★ 1 cited
Support theory for the small quantum group and the Springer resolution
Cris Negron, Julia Pevtsova
We consider the small quantum group u_q(G), for an almost-simple algebraic group G over the complex numbers and a root of unity q of sufficiently large order. We show that the Balm…
math.RT2020
Support for integrable Hopf algebras via noncommutative hypersurfaces
Cris Negron, Julia Pevtsova
We consider finite-dimensional Hopf algebras which admit a smooth deformation by a Noetherian Hopf algebra of finite global dimension. Examples of such Hopf algebr…
math.RT2018
-coderivations and the Gerstenhaber bracket on Hochschild cohomology
C. Negron, Y. Volkov, S. Witherspoon
We show that Hochschild cohomology of an algebra over a field is a space of infinity coderivations on an arbitrary projective bimodule resolution of the algebra. The Gerstenhaber b…