On orbits of order ideals of minuscule posets
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
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