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math.RA2022
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…
math.CO2022
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…