Andrew Snowden

activity

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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25 papers · 1 filter

math.AC2023

Systems of ideals parametrized by combinatorial structures

Robert P. Laudone, Andrew Snowden

A symmetric chain of ideals is a rule that assigns to each finite set $S$ an ideal $I_{S}$ in the polynomial ring $C [x_{i}]_{i \in S}$ such that if $ϕ : S \to T$ is an emb…

math.AC2022

A note on projective dimension over twisted commutative algebras

Steven V Sam, Andrew Snowden

Let $M$ be a finitely generated module over a free twisted commutative algebra $A$ that is finitely generated in degree one. We show that the projective dimension of $M (C^{n})$ …

math.AC2021★ 4 cited

Symmetric ideals of the infinite polynomial ring

Rohit Nagpal, Andrew Snowden

Let $R = C [ξ_{1}, ξ_{2}, \dots]$ be the infinite variable polynomial ring, equipped with the natural action of the infinite symmetric group $S$ . We classify the $\math…

math.AC2021

Equivariant prime ideals for infinite dimensional supergroups

Robert P. Laudone, Andrew Snowden

Let $A$ be a commutative algebra equipped with an action of a group $G$ . The so-called $G$ -primes of $A$ are the equivariant analogs of prime ideals, and of central importance in e…

math.AC2020

Relative big polynomial rings

Andrew Snowden

Let $K$ be the field of Laurent series with complex coefficients, let $R$ be the inverse limit of the standard-graded polynomial rings $K [x_{1}, \dots, x_{n}]$ , and let $\ma…

math.AC2020

The spectrum of a twisted commutative algebra

Andrew Snowden

A twisted commutative algebra is (for us) a commutative $Q$ -algebra equipped with an action of the infinite general linear group. In such algebras the " $GL$ -prime…