Geodesic
A combinatorial proof of a Weyl type formula for hook Schur polynomials
Journal of Algebraic Combinatorics, Tome 28 (2008) no. 4, pp. 439-459.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we present a simple combinatorial proof of a Weyl type formula for hook Schur polynomials, which was obtained previously by other people using a Kostant type cohomology formula for $\frak gl _{ m | n}$ frakgl_m|n . In general, we can obtain in a combinatorial way a Weyl type character formula for various irreducible highest weight representations of a Lie superalgebra, which together with a general linear algebra forms a Howe dual pair.
Keywords: keywords hook Schur polynomial, Lie superalgebra, character formula 
@article{JAC_2008__28_4_a5,
     author = {Kwon, Jae-Hoon},
     title = {A combinatorial proof of a {Weyl} type formula for hook {Schur} polynomials},
     journal = {Journal of Algebraic Combinatorics},
     pages = {439--459},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2008__28_4_a5/}
}
TY  - JOUR
AU  - Kwon, Jae-Hoon
TI  - A combinatorial proof of a Weyl type formula for hook Schur polynomials
JO  - Journal of Algebraic Combinatorics
PY  - 2008
SP  - 439
EP  - 459
VL  - 28
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2008__28_4_a5/
LA  - en
ID  - JAC_2008__28_4_a5
ER  - 
%0 Journal Article
%A Kwon, Jae-Hoon
%T A combinatorial proof of a Weyl type formula for hook Schur polynomials
%J Journal of Algebraic Combinatorics
%D 2008
%P 439-459
%V 28
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2008__28_4_a5/
%G en
%F JAC_2008__28_4_a5
Kwon, Jae-Hoon. A combinatorial proof of a Weyl type formula for hook Schur polynomials. Journal of Algebraic Combinatorics, Tome 28 (2008) no. 4, pp. 439-459. http://geodesic.mathdoc.fr/item/JAC_2008__28_4_a5/