Geodesic
Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture
Bessenrodt, Christine ; Bowman, Chris1
1 Department of Mathematics University of York Heslington, York, YO10 5DD United Kingdom
Algebraic Combinatorics, Tome 6 (2023) no. 4, pp. 863-899

Voir la notice de l'article provenant de la source Numdam

This paper concerns the symmetric and anti-symmetric Kronecker products of characters of the symmetric groups. We provide new closed formulas for decomposing these products, unexpected connections with 2-modular decomposition numbers, Catalan combinatorics, and a refinement of the famous Saxl conjecture.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/alco.294
Classification : 05A05, 05A10, 05E05, 05A15, 05E10, 05E16, 81Q30
Keywords: Symmetric tensor squares, Kronecker product, symmetric groups, character theory, decomposition numbers, Catalan combinatorics.

Bessenrodt, Christine  ; Bowman, Chris 1

1 Department of Mathematics University of York Heslington, York, YO10 5DD United Kingdom
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
@article{ALCO_2023__6_4_863_0,
     author = {Bessenrodt, Christine and Bowman, Chris},
     title = {Splitting {Kronecker} squares, 2-decomposition numbers, {Catalan} combinatorics, and the {Saxl} conjecture},
     journal = {Algebraic Combinatorics},
     pages = {863--899},
     publisher = {The Combinatorics Consortium},
     volume = {6},
     number = {4},
     year = {2023},
     doi = {10.5802/alco.294},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/alco.294/}
}
TY  - JOUR
AU  - Bessenrodt, Christine
AU  - Bowman, Chris
TI  - Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture
JO  - Algebraic Combinatorics
PY  - 2023
SP  - 863
EP  - 899
VL  - 6
IS  - 4
PB  - The Combinatorics Consortium
UR  - http://geodesic.mathdoc.fr/articles/10.5802/alco.294/
DO  - 10.5802/alco.294
LA  - en
ID  - ALCO_2023__6_4_863_0
ER  - 
%0 Journal Article
%A Bessenrodt, Christine
%A Bowman, Chris
%T Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture
%J Algebraic Combinatorics
%D 2023
%P 863-899
%V 6
%N 4
%I The Combinatorics Consortium
%U http://geodesic.mathdoc.fr/articles/10.5802/alco.294/
%R 10.5802/alco.294
%G en
%F ALCO_2023__6_4_863_0
Bessenrodt, Christine; Bowman, Chris. Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture. Algebraic Combinatorics, Tome 6 (2023) no. 4, pp. 863-899. doi: 10.5802/alco.294

Cité par Sources :