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20052024
most citedGröbner methods for representations of combinatorial categories

122 citations · 901 across the 71 of their papers we have counts for

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Showing 2017Show all

10 papers · 1 filter

math.AG2017

An equivariant Hilbert basis theorem

Daniel Erman, Steven V Sam, Andrew Snowden

We prove a version of the Hilbert basis theorem in the setting of equivariant algebraic geometry: given a group G acting on a finite type morphism of schemes X -> S, if S is topolo…

math.AT2017★ 6 cited

Stability in the homology of unipotent groups

Andrew Putman, Steven V Sam, Andrew Snowden

Let be a (not necessarily commutative) ring whose additive group is finitely generated and let be the group of upper-triangular unipotent matrices over…

math.NT2017★ 6 cited

Constructing elliptic curves from Galois representations

Andrew Snowden, Jacob Tsimerman

Given a non-isotrivial elliptic curve over an arithmetic surface, one obtains a lisse -adic sheaf of rank two over the surface. This lisse sheaf has a number of straightforwa…

math.RT2017★ 2 cited

Some generalizations of Schur functors

Steven V Sam, Andrew Snowden

The theory of Schur functors provides a powerful and elegant approach to the representation theory of GL_n - at least to the so-called polynomial representations - especially to qu…

math.AC2017★ 13 cited

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…

math.RT2017★ 17 cited

Periodicity in the cohomology of symmetric groups via divided powers

Rohit Nagpal, Andrew Snowden

A famous theorem of Nakaoka asserts that the cohomology of the symmetric group stabilizes. The first author generalized this theorem to non-trivial coefficient systems, in the form…