Geodesic
Enumeration of Bounded Lecture Hall Tableaux
Séminaire lotharingien de combinatoire, Tome 81 (2020)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Recently the authors introduced lecture hall tableaux in their study of multivariate little q-Jacobi polynomials. In this paper, we enumerate bounded lecture hall tableaux. We show that their enumeration is closely related to standard and semistandard Young tableaux. We also show that the number of bounded lecture hall tableaux occurs as a coefficient in the Schur expansion of sλ(m+y1,...,m+yn). To prove this result, we use two main tools: non-intersecting lattice paths and bijections. In particular, we use ideas developed by Krattenthaler to prove bijectively the hook content formula. 

@article{SLC_2020_81_a5,
     author = {Sylvie Corteel and Jang Soo Kim},
     title = {Enumeration of {Bounded} {Lecture} {Hall} {Tableaux}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {81},
     year = {2020},
     url = {http://geodesic.mathdoc.fr/item/SLC_2020_81_a5/}
}
TY  - JOUR
AU  - Sylvie Corteel
AU  - Jang Soo Kim
TI  - Enumeration of Bounded Lecture Hall Tableaux
JO  - Séminaire lotharingien de combinatoire
PY  - 2020
VL  - 81
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2020_81_a5/
ID  - SLC_2020_81_a5
ER  - 
%0 Journal Article
%A Sylvie Corteel
%A Jang Soo Kim
%T Enumeration of Bounded Lecture Hall Tableaux
%J Séminaire lotharingien de combinatoire
%D 2020
%V 81
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2020_81_a5/
%F SLC_2020_81_a5
Sylvie Corteel; Jang Soo Kim. Enumeration of Bounded Lecture Hall Tableaux. Séminaire lotharingien de combinatoire, Tome 81 (2020). http://geodesic.mathdoc.fr/item/SLC_2020_81_a5/