71 citations · 533 across the 58 of their papers we have counts for
72 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…
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…
Free resolutions constructed from bigradings on Lie algebras
Xianglong Ni, Jerzy Weyman
We construct two families of free resolutions that resolve the ideals of certain opposite Schubert varieties restricted to the big open cell. We conjecture that these examples have…
Artinian Gorenstein algebras of embedding dimension four and socle degree three
Pedro Macias Marques, Oana Veliche, Jerzy Weyman
We prove that in the polynomial ring , with an algebraically closed field of characteristic zero, all Gorenstein homogeneous ideals such tha…
Higher structure maps for free resolutions of length 3 and linkage
Lorenzo Guerrieri, Xianglong Ni, Jerzy Weyman
Let be a perfect ideal of height 3 in a Gorenstein local ring . Let be the minimal free resolution of . A sequence of linear maps, which generalize the multi…
Jacobi-Trudi formulas and determinantal varieties
Steven V Sam, Jerzy Weyman
Gessel gave a determinantal expression for certain sums of Schur functions which visually looks like the classical Jacobi-Trudi formula. We explain the commonality of these formula…