Particle basis of Feigin-Stoyanovsky's type subspaces of level one $\tilde{\mathfrak{sl}}_{\ell+1}(\C)$-modules

Abstract

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.