Geodesic
Three generalizations of Weyl's denominator formula
The electronic journal of combinatorics, Tome 3 (1996) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We give combinatorial proofs of three identities, each of which generalizes Weyl's denominator formula for two of the three root systems $B_n$, $C_n$, $D_n$. Two of the three identities are due to S. Okada; the third appears in the author's doctoral thesis, upon which this work is based. Each of the identities we prove has a "sum side" and a "product side"; both sides are polynomials in several commuting indeterminates. We use weighted digraphs to represent the terms on each side; the set of such digraphs that corresponds to the sum side is a proper subset of the set corresponding to the product side.
DOI : 10.37236/1236
Classification : 05A19
Mots-clés : identities, Weyl's denominator, polynomials, digraphs, sum, product 
@article{10_37236_1236,
     author = {Todd Simpson},
     title = {Three generalizations of {Weyl's} denominator formula},
     journal = {The electronic journal of combinatorics},
     year = {1996},
     volume = {3},
     number = {1},
     doi = {10.37236/1236},
     zbl = {0851.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1236/}
}
TY  - JOUR
AU  - Todd Simpson
TI  - Three generalizations of Weyl's denominator formula
JO  - The electronic journal of combinatorics
PY  - 1996
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1236/
DO  - 10.37236/1236
ID  - 10_37236_1236
ER  - 
%0 Journal Article
%A Todd Simpson
%T Three generalizations of Weyl's denominator formula
%J The electronic journal of combinatorics
%D 1996
%V 3
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/1236/
%R 10.37236/1236
%F 10_37236_1236
Todd Simpson. Three generalizations of Weyl's denominator formula. The electronic journal of combinatorics, Tome 3 (1996) no. 1. doi: 10.37236/1236

Cité par Sources :