Geodesic
Bihomogeneous symmetric functions
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 400-408

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

DOI

We consider two natural gradings on the space of symmetric functions: by degree and by length. We introduce a differential operator T that leaves the components of this double grading invariant and exhibit a basis of bihomogeneous symmetric functions in which this operator is triangular. This allows us to compute the eigenvalues of T, which turn out to be nonnegative integers.
DOI : 10.4153/S0008439521000345
Mots-clés : Symmetric functions 
Billig, Yuly. Bihomogeneous symmetric functions. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 400-408. doi: 10.4153/S0008439521000345
@article{10_4153_S0008439521000345,
     author = {Billig, Yuly},
     title = {Bihomogeneous symmetric functions},
     journal = {Canadian mathematical bulletin},
     pages = {400--408},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S0008439521000345},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000345/}
}
TY  - JOUR
AU  - Billig, Yuly
TI  - Bihomogeneous symmetric functions
JO  - Canadian mathematical bulletin
PY  - 2022
SP  - 400
EP  - 408
VL  - 65
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000345/
DO  - 10.4153/S0008439521000345
ID  - 10_4153_S0008439521000345
ER  - 
%0 Journal Article
%A Billig, Yuly
%T Bihomogeneous symmetric functions
%J Canadian mathematical bulletin
%D 2022
%P 400-408
%V 65
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000345/
%R 10.4153/S0008439521000345
%F 10_4153_S0008439521000345

Cité par Sources :