Geodesic
Combinatorial Proofs of Capelli's and Turnbull's Identities from Classical Invariant Theory
Séminaire lotharingien de combinatoire, Tome 23 (1990) 
Dominique Foata; Doron Zeilberger. Combinatorial Proofs of Capelli's and Turnbull's Identities from Classical Invariant Theory. Séminaire lotharingien de combinatoire, Tome 23 (1990). http://geodesic.mathdoc.fr/item/SLC_1990_23_a1/
@article{SLC_1990_23_a1,
     author = {Dominique Foata and Doron Zeilberger},
     title = {Combinatorial {Proofs} of {Capelli's} and {Turnbull's} {Identities} from {Classical} {Invariant} {Theory}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1990},
     volume = {23},
     url = {http://geodesic.mathdoc.fr/item/SLC_1990_23_a1/}
}
TY  - JOUR
AU  - Dominique Foata
AU  - Doron Zeilberger
TI  - Combinatorial Proofs of Capelli's and Turnbull's Identities from Classical Invariant Theory
JO  - Séminaire lotharingien de combinatoire
PY  - 1990
VL  - 23
UR  - http://geodesic.mathdoc.fr/item/SLC_1990_23_a1/
ID  - SLC_1990_23_a1
ER  - 
%0 Journal Article
%A Dominique Foata
%A Doron Zeilberger
%T Combinatorial Proofs of Capelli's and Turnbull's Identities from Classical Invariant Theory
%J Séminaire lotharingien de combinatoire
%D 1990
%V 23
%U http://geodesic.mathdoc.fr/item/SLC_1990_23_a1/
%F SLC_1990_23_a1

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

In this paper we give short combinatorial proofs of Capelli's and Turnbull's identities, and raise the hope that someone else will use our approach to prove the new Howe-Umeda-Kostant-Sahi identity.

The paper has been finally published as: