A theory of pictures for quasi-posets
| Autor: | Loïc Foissy, Claudia Malvenuto, Frédéric Patras |
|---|---|
| Přispěvatelé: | Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville (LMPA), Université du Littoral Côte d'Opale (ULCO), Dipartimento di Matematica 'Guido Castelnuovo' [Roma I] (Sapienza University of Rome), Università degli Studi di Roma 'La Sapienza' = Sapienza University [Rome], Laboratoire Jean Alexandre Dieudonné (JAD), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), ANR-12-BS01-0017,CARMA,Combinatoire Algébrique, Résurgence, Moules et Applications(2012) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Finite topological space Mathematics::Combinatorics algebra and number theory quasi-poset 010102 general mathematics [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] finite topology 010103 numerical & computational mathematics Mathematics - Rings and Algebras combinatorial Hopf algebra Object (computer science) ENCODE Network topology pictures 01 natural sciences Algebra Symmetric group Mathematics - Combinatorics 0101 mathematics Mathematics |
| Zdroj: | Journal of Algebra Journal of Algebra, Elsevier, 2017, 477, pp.496-515 |
| ISSN: | 0021-8693 1090-266X |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect