Fixed points of zircon automorphisms
Combinatorics
2007-05-23 v1
Abstract
A zircon is a poset in which every principal order ideal is finite and equipped with a so-called special matching. We prove that the subposet induced by the fixed points of any automorphism of a zircon is itself a zircon. This provides a natural context in which to view recent results on Bruhat orders on twisted involutions in Coxeter groups.
Keywords
Cite
@article{arxiv.math/0703482,
title = {Fixed points of zircon automorphisms},
author = {Axel Hultman},
journal= {arXiv preprint arXiv:math/0703482},
year = {2007}
}
Comments
5 pages