122 citations · 1.3k across the 93 of their papers we have counts for
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On the cohomology of tautological bundles over Quot schemes of curves
Alina Marian, Dragos Oprea, Steven V Sam
We consider tautological bundles and their exterior and symmetric powers on the Quot scheme over the projective line. We prove and conjecture several statements regarding the vanis…
Polynomial representations of the Witt Lie algebra
Steven V Sam, Andrew Snowden, Philip Tosteson
The Witt algebra W_n is the Lie algebra of all derivations of the n-variable polynomial ring V_n=C[x_1, ..., x_n] (or of algebraic vector fields on A^n). A representation of W_n is…
The representation theory of Brauer categories II: curried algebra
Steven V Sam, Andrew Snowden
A representation of is a linear map satisfying a certain identity. By currying, giving a linear map …
A note on projective dimension over twisted commutative algebras
Steven V Sam, Andrew Snowden
Let be a finitely generated module over a free twisted commutative algebra that is finitely generated in degree one. We show that the projective dimension of …
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…