A theory of pictures for quasi-posets

Abstract : The theory of pictures between posets is known to encode much of the combinatorics of symmetric group representations and related topics such as Young diagrams and tableaux. Many reasons, com-binatorial (e.g. since semi-standard tableaux can be viewed as double quasi-posets) and topological (quasi-posets identify with finite topolo-gies) lead to extend the theory to quasi-posets. This is the object of the present article.
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Submitted on : Thursday, December 1, 2016 - 4:10:08 PM
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  • HAL Id : hal-01405344, version 1
  • ARXIV : 1612.00303

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Loïc Foissy, Claudia Malvenuto, Frédéric Patras. A theory of pictures for quasi-posets. 2016. ⟨hal-01405344⟩

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