1 citations · 1 across the 2 of their papers we have counts for
4 papers
Families of nested graphs with compatible symmetric-group actions
Eric Ramos, Graham White
For fixed positive integers and , the Kneser graph has vertices labeled by -element subsets of and edges between disjoint sets. Keeping f…
Local cohomology and the multi-graded regularity of FI-modules
Liping Li, Eric Ramos
We develop a local cohomology theory for FI-modules, and show that it in many ways mimics the classical theory for multi-graded modules over a polynomial ring. In particular, w…
Asymptotic behaviors in the homology of symmetric group and finite general linear group quandles
Eric Ramos
A quandle is an algebraic structure which attempts to generalize group conjugation. These structures have been studied extensively due to their connections with knot theory, algebr…
On the degree-wise coherence of FI_G-modules
Eric Ramos
In this work we study a kind of coherence condition on FI_G-modules, which generalizes the usual notion of finite generation. We prove that a module is coherent, in the appropriate…