24 citations · 54 across the 25 of their papers we have counts for
32 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…
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…
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…
Twisted tensor products: Alexander-Whitney and Eilenberg-Zilber maps
Anne V. Shepler, Sarah Witherspoon
Alexander-Whitney and Eilenberg-Zilber maps traditionally convert between the tensor product of standard resolutions and the standard resolution of a tensor product of algebras. We…
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…
Invariant differential derivations for reflection groups in positive characteristic
Anne V. Shepler, Dillon Hanson
Much of the fascinating numerology surrounding finite reflection groups stems from Solomon's celebrated 1963 theorem describing invariant differential forms. Invariant differential…