Poset Structure concerning Cylindric Diagrams
Combinatorics
2023-02-06 v1 Quantum Algebra
Representation Theory
Abstract
The purpose of the present paper is to give a realization of a cylindric diagram as a subset of root systems of type and several characterization of its poset structure. Furthermore, the set of order ideals of a cylindric diagram is described as a weak Bruhat interval of the Weyl group.
Cite
@article{arxiv.2302.01774,
title = {Poset Structure concerning Cylindric Diagrams},
author = {Kento Nakada and Takeshi Suzuki and Yoshitaka Toyosawa},
journal= {arXiv preprint arXiv:2302.01774},
year = {2023}
}