4 papers
Parabolic-equivariant modules over polynomial rings in infinitely many variables
Teresa Yu
We study the category of -equivariant modules over the infinite variable polynomial ring, where denotes the subgroup of the infinite general linear group $…
Jets and principal components of monomial ideals, and very well-covered graphs
Federico Galetto, Nicholas Iammarino, Teresa Yu
Motivated by using combinatorics to study jets of monomial ideals, we extend a definition of jets from graphs to clutters. We offer some structural results on their vertex covers,…
Polynomial functors on flags
Teresa Yu
We study generalizations of Schur functors from categories consisting of flags of vector spaces. We give different descriptions of the category of such functors in terms of represe…
Standard monomial theory modulo Frobenius in characteristic two
Laura Casabella, Teresa Yu
Over a field of characteristic two, we develop a theory of standard monomials for polynomial rings modulo a Frobenius power of the maximal ideal generated by all variables. As a re…