122 citations · 901 across the 71 of their papers we have counts for
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Hilbert series for twisted commutative algebras
Steven V Sam, Andrew Snowden
Suppose that for each n >= 0 we have a representation of the symmetric group S_n. Such sequences arise in a wide variety of contexts, and often exhibit uniformity in some way…
Regularity bounds for twisted commutative algebras
Steven V Sam, Andrew Snowden
Let A be the twisted commutative algebra freely generated by d indeterminates of degree 1. We show that the regularity of an A-module can be bounded from the first floor(d^2/4) + 2…
Regularity of FI-modules and local cohomology
Rohit Nagpal, Steven V Sam, Andrew Snowden
We resolve a conjecture of Li and Ramos that relates the regularity of an FI-module to its local cohomology groups. This is an analogue of the familiar relationship between regular…
GL-equivariant modules over polynomial rings in infinitely many variables. II
Steven V Sam, Andrew Snowden
Twisted commutative algebras (tca's) have played an important role in the nascent field of representation stability. Let A_d be the complex tca freely generated by d indeterminates…