Character formulas for Feigin-Stoyanovsky's type subspaces of standard\n mathfraksl(3, \ℂ)^ widetilde-modules

2011/05/15 by Miroslav Jerkovi ' c, c, Miroslav Jerkovi\', Miroslav Jerkovi' c · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1105.2927

Abstract

Exact sequences of Feigin-Stoyanovsky's type subspaces for affine Lie algebra\n mathfraksl(l+1,\ℂ)^ widetilde lead to systems of recurrence\nrelations for formal characters of those subspaces. By solving the\ncorresponding system for mathfraksl(3,\ℂ)^ widetilde, we\nobtain a new family of character formulas for all Feigin-Stoyanovsky's type\nsubspaces at general level.\n

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