Standard monomial theory modulo Frobenius in characteristic two
Commutative Algebra
2023-11-10 v1 Combinatorics
Representation Theory
Abstract
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 result, we obtain a filtration by modular GL_n-representations whose characters are given by particular truncated Schur polynomials, thus proving a conjecture by Gao--Raicu--VandeBogert in the characteristic two case.
Cite
@article{arxiv.2311.05530,
title = {Standard monomial theory modulo Frobenius in characteristic two},
author = {Laura Casabella and Teresa Yu},
journal= {arXiv preprint arXiv:2311.05530},
year = {2023}
}
Comments
25 pages. Comments welcome!