We construct particle basis for Feigin-Stoyanovsky's type subspaces of level $1$ standard $\tilde{\mathfrak{sl}}_{\ell+1}(\C)$-modules. From the description we obtain character formulas.
Publié le : 2015-11-08
Classification:
affine Lie algebras; principal subspaces; combinatorial basis; character formulas,
17B67; 05A19
@article{mc1270,
author = {Trup\v cevi\'c, Goran},
title = {Particle basis of Feigin-Stoyanovsky's type subspaces of level one $\tilde{\mathfrak{sl}}\_{\ell+1}(\C)$-modules},
journal = {Mathematical Communications},
volume = {20},
number = {1},
year = {2015},
pages = { 185-192},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc1270}
}
Trupčević, Goran. Particle basis of Feigin-Stoyanovsky's type subspaces of level one $\tilde{\mathfrak{sl}}_{\ell+1}(\C)$-modules. Mathematical Communications, Tome 20 (2015) no. 1, pp. 185-192. http://gdmltest.u-ga.fr/item/mc1270/