The atomic Leibniz rule
Representation Theory
2024-07-19 v1 Combinatorics
Abstract
The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure operator associated to any atomic double coset. We prove that this atomic Leibniz rule is equivalent to a polynomial forcing property for singular Soergel bimodules.
Cite
@article{arxiv.2407.13128,
title = {The atomic Leibniz rule},
author = {Ben Elias and Hankyung Ko and Nicolas Libedinsky and Leonardo Patimo},
journal= {arXiv preprint arXiv:2407.13128},
year = {2024}
}
Comments
38 pages