Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types A_ℓ⁽¹⁾ and D₄⁽¹⁾

2010/02/01 by Goran Trupčević, Trupčević, Goran
Mathematics · Physics and Astronomy · #05A19 #17B67 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A19 #msc:17B67

paper · pdf · doi:10.48550/arxiv.1002.0348

arxiv created 2010/02/01 · openalex publication_date 2010/02/01 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We use combinatorial description of bases of Feigin-Stoyanovsky's type subspaces of standard modules of level 1 for affine Lie algebras of types A_ℓ⁽¹⁾ and D₄⁽¹⁾ to obtain character formulas. These descriptions naturally lead to systems of recurrence relations for which we also find solutions.

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