Character formulas for Feigin–Stoyanovsky’s type subspaces of standard \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}$\end{document}-modules

Exact sequences of Feigin–Stoyanovsky’s type subspaces for affine Lie algebra \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak{sl}(l+1,\mathbb{C})^{\widetilde{}}$\end{document} lead to systems of recurrence relations for formal characters of those subspaces. By solving the corresponding system for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}}$\end{document}, we obtain a new family of character formulas for all Feigin–Stoyanovsky’s type subspaces at the general level.