Fixed Points of Zircon Automorphisms

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.

• Type: Journal
• Year: 2008
• Where: ORDER
• Authors: Axel Hultman
• Keywords: ORDER 2008, Principal Order Ideal, So-called Special Matching, Zircon