Fixed points of zircon automorphisms

Details Fixed points of zircon automorphisms Fixed points of zircon automorphisms

2007-03-16

arxiv.org/abs/math/0703482v1

Mathematics

Combinatorics

5 pages

Scientific paper

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.

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