Fixed Points of Zircon Automorphisms |
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Authors: | Axel Hultman |
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Institution: | 1.Department of Mathematics,Kungliga Tekniska H?gskolan,Stockholm,Sweden |
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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. |
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Keywords: | Zircon Special matching Poset automorphism |
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