Describes all PBW deformations arising from Hopf actions on Koszul algebras as Hopf-Koszul Hecke algebras by converting Hochschild cocycle and Gerstenhaber bracket conditions into explicit PBW criteria via Alexander-Whitney and Eilenberg-Zilber maps.
Deforming group actions on Koszul algebras
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Deformation Theory and Hopf Actions on Koszul Algebras
Describes all PBW deformations arising from Hopf actions on Koszul algebras as Hopf-Koszul Hecke algebras by converting Hochschild cocycle and Gerstenhaber bracket conditions into explicit PBW criteria via Alexander-Whitney and Eilenberg-Zilber maps.