122 citations · 1.3k across the 93 of their papers we have counts for
95 papers
Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
In characteristic zero, we prove that the Tor algebras of the generic, symmetric, and skew-symmetric determinantal rings are Koszul with respect to a natural regrading. In particul…
Cohomology of complex supertori
Hargun Bhatia, Soumya Ganguly, Zhiyuan Jiang +2
We consider supertori which are quotients of affine superspace by translations by algebraically independent odd parameters. Specifically, we describe the ring structure of its spac…
Powers of binary forms and derived Hermite reciprocity
Claudiu Raicu, Steven V Sam, Jerzy Weyman +1
For , Hilbert found in 1886 a collection of polynomial equations that cut out set-theoretically the variety X parametrizing a-th powers of binary forms of degree b. We d…
Kostant -decomposition of homology I. Finite-dimensional representations
Steven V Sam, Keller VandeBogert, Jerzy Weyman
We give explicit, uniform formulas for the graded characters and total ranks of the Lie algebra homology of finite-dimensional representations in all classical types. In many cases…
Cohomology of flag supervarieties and resolutions of determinantal ideals. II
Steven V Sam, Andrew Snowden
We compute the coherent cohomology of the structure sheaf of complex periplectic Grassmannians. In particular, we show that it can be decomposed as a tensor product of the singular…
From total positivity to pure free resolutions
Steven V Sam, Keller VandeBogert
Using the Jacobi-Trudi identity as a base, we establish parallels between the theory of totally positive integer sequences and Koszul algebras. We then focus on the case of quadric…