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math.RA2019★ 6 cited
Actions of quantum linear spaces on quantum algebras
Zachary Cline, Jason Gaddis
We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In…
math.RA2018
PBW deformations of quadratic monomial algebras
Zachary Cline, Andrew Estornell, Chelsea Walton +1
A result of Braverman and Gaitsgory from 1996 gives necessary and sufficient conditions for a filtered algebra to be a Poincaré-Birkhoff-Witt (PBW) deformation of a Koszul algebra.…