Geodesic
Hook removal operators on the odd Young graph
Bessenrodt, Christine1 ; Giannelli, Eugenio2 ; Olsson, Jørn B.3
1 Institute for Algebra, Number Theory and Discrete Mathematics, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
2 Dipartimento di Matematica “U. Dini”, Université degli Studi di Firenze, Firenze, 50134 Italy
3 Department of Mathematical Sciences, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark
Algebraic Combinatorics, Tome 2 (2019) no. 2, pp. 249-274 Cet article a éte moissonné depuis la source Numdam

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In this article we consider hook removal operators on odd partitions, i.e., partitions labelling odd-degree irreducible characters of finite symmetric groups. In particular we complete the discussion, started in [8] and developed in [3], concerning the commutativity of such operators.

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DOI : 10.5802/alco.42
Classification : 20C15
Keywords: Symmetric groups, Young graph

Bessenrodt, Christine 1 ; Giannelli, Eugenio 2 ; Olsson, Jørn B. 3

1 Institute for Algebra, Number Theory and Discrete Mathematics, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
2 Dipartimento di Matematica “U. Dini”, Université degli Studi di Firenze, Firenze, 50134 Italy
3 Department of Mathematical Sciences, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Hook removal operators on the odd {Young} graph},
     journal = {Algebraic Combinatorics},
     pages = {249--274},
     year = {2019},
     publisher = {MathOA foundation},
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Bessenrodt, Christine; Giannelli, Eugenio; Olsson, Jørn B. Hook removal operators on the odd Young graph. Algebraic Combinatorics, Tome 2 (2019) no. 2, pp. 249-274. doi: 10.5802/alco.42

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