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Morphisms and order ideals of toric posets

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 نشر من قبل Matthew Macauley
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English
 تأليف Matthew Macauley




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Toric posets are cyclic analogues of finite posets. They can be viewed combinatorially as equivalence classes of acyclic orientations generated by converting sources into sinks, or geometrically as chambers of toric graphic hyperplane arrangements. In this paper we study toric intervals, morphisms, and order ideals, and we provide a connection to cyclic reducibility and conjugacy in Coxeter groups.



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