4 papers
Pseudodifferential Jacobi forms and Geometric Rankin-Cohen Brackets
Martin Raum, Anne V. Shepler
Cohen, Manin, and Zagier recovered the Rankin-Cohen bracket for modular forms from an action of the modular group on pseudodifferential operators whose coefficients are holomorphic…
Deformation cohomology for cyclic groups acting on polynomial rings
Colin M. Lawson, Anne V. Shepler
We examine the Hochschild cohomology governing graded deformations for finite cyclic groups acting on polynomial rings. We classify the infinitesimal graded deformations of the ske…
Deformation Theory and Hopf Actions on Koszul Algebras
A. V. Shepler, S. Witherspoon
We consider graded deformations and PBW deformations of algebras defined over noncommutative algebras. We explain how fibers of graded deformations correspond to filtered algebras…
On the finite generation of the cohomology of bosonizations
Nicolás Andruskiewitsch, David Jaklitsch, Van C. Nguyen +4
We use deformation sequences of (Hopf) algebras, extending the results of Negron and Pevtsova, to show that bosonizations of some suitable braided Hopf algebras by some suitable fi…