Fixed points of zircon automorphisms
2008 (English)In: Order, ISSN 0167-8094, E-ISSN 1572-9273, Vol. 25, no 2, 85-90 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 25, no 2, 85-90 p.
zircon, special matching, poset automorphism, bruhat order, symmetrical varieties, coxeter groups
IdentifiersURN: urn:nbn:se:kth:diva-17742DOI: 10.1007/s11083-008-9080-xISI: 000258118500002ScopusID: 2-s2.0-49049102064OAI: oai:DiVA.org:kth-17742DiVA: diva2:335787
QC 201005252010-08-052010-08-05Bibliographically approved