3 papers
math.RT2025
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…
math.AC2025
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 …
math.AG2024
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…