ALGEBRAIC COMBINATORICS

no. 2
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, Volume 2 (2019) no. 2, pp. 249-274.

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.

Received:
Revised:
Accepted:
Published online:
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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Bessenrodt, Christine; Giannelli, Eugenio; Olsson, Jørn B. Hook removal operators on the odd Young graph. Algebraic Combinatorics, Volume 2 (2019) no. 2, pp. 249-274. doi : 10.5802/alco.42. https://alco.centre-mersenne.org/articles/10.5802/alco.42/

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