A GL-Equivariant Complex Inducing Character Identities for Schur Modules
Commutative Algebra
2022-03-25 v1 Combinatorics
Abstract
In this paper we construct a GL-equivariant complex of Schur modules over a ring of positive characteristic that can be used to deduce classical alternating sum identities for Schur polynomials. This complex globalizes to a complex of vector bundles and can also be used to give an explicit construction of an exact sequence predicted by work of Grayson involving Adams operations identities on the algebraic K-theory of a given scheme . The more general complex gives an explicit construction that reproves the aforementioned Adams operations identities in full generality.
Cite
@article{arxiv.2203.13119,
title = {A GL-Equivariant Complex Inducing Character Identities for Schur Modules},
author = {Keller VandeBogert},
journal= {arXiv preprint arXiv:2203.13119},
year = {2022}
}
Comments
16 pages