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Fixed points of zircon automorphisms
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2008 (English)In: Order, ISSN 0167-8094, E-ISSN 1572-9273, Vol. 25, no 2, 85-90 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
zircon, special matching, poset automorphism, bruhat order, symmetrical varieties, coxeter groups
Identifiers
URN: urn:nbn:se:kth:diva-17742DOI: 10.1007/s11083-008-9080-xISI: 000258118500002Scopus ID: 2-s2.0-49049102064OAI: oai:DiVA.org:kth-17742DiVA: diva2:335787
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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