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On orbits of order ideals of minuscule posets

✍ Scribed by David B. Rush, XiaoLin Shi


Book ID
120668441
Publisher
Springer
Year
2012
Tongue
English
Weight
818 KB
Volume
37
Category
Article
ISSN
0925-9899

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πŸ“œ SIMILAR VOLUMES


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✍ RadomΓ­r HalaΕ‘ πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 140 KB
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We consider the permutation \(f\) of antichains of a ranked poset \(P\), moving the set of lower units of any monotone boolean function on \(P\) to the set of its upper zeros. A duality relation on orbits of this permutation is found, which is used for proving a conjecture by M. Deza and K. Fukuda.

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Certain posets associated to a restricted version of the numbers game of Mozes are shown to be distributive lattices. The posets of join irreducibles of these distributive lattices are characterized by a collection of local structural properties, which form the definition of d-complete poset. In rep