A combinatorial divisibility question from noncommutative algebra
Combinatorics
2016-11-28 v1 Algebraic Geometry
Rings and Algebras
Abstract
We present a general conjecture on the divisibility of a certain expression in terms of Kostka numbers and their close variants. This conjecture is closely related to a variant of the period-index problem of noncommutative algebra, with partial implications in both directions. We present a description of the connection between these two problems via Schubert calculus as motivation and evidence for the conjecture before turning to a proof of the conjecture in a family of cases.
Cite
@article{arxiv.1611.07982,
title = {A combinatorial divisibility question from noncommutative algebra},
author = {Arnav Tripathy},
journal= {arXiv preprint arXiv:1611.07982},
year = {2016}
}
Comments
14 pages; comments welcome!