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

Abstract

We construct particle basis for Feigin-Stoyanovsky's type subspaces of level $1$ standard ${\widetilde{\mathfrak{sl}}}_{\ell +1}(\mathbb{C})$-modules. From the description we obtain character formulas.

6 pages