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, combinatorial (e.g. since semi-standard tableaux can be viewed as double quasi-posets) and topological (quasi-posets identify with finite topologies) lead to extend the theory to quasi-posets.
A theory of pictures for quasi-posets / Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 477:(2017), pp. 496-515. [10.1016/j.jalgebra.2017.01.003]
A theory of pictures for quasi-posets
MALVENUTO, Claudia;
2017
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, combinatorial (e.g. since semi-standard tableaux can be viewed as double quasi-posets) and topological (quasi-posets identify with finite topologies) lead to extend the theory to quasi-posets.File allegati a questo prodotto
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