Bases of Feigin-Stoyanovsky's type subspaces for C_ℓ⁽¹⁾

2016/03/15 by Ivana Baranović, Baranović, Ivana, Mirko Primc +3
Mathematics · #05A19 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 17B67 #Quantum Algebra (math.QA) #Secondary 17B69 #math.QA #msc:05A19 #msc:17B67 #msc:17B69

paper · pdf · doi:10.48550/arxiv.1603.04594

20 pages, 7 figures

arxiv created 2016/03/15 · openalex publication_date 2016/03/15 · arxiv updated 2016/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct combinatorial bases of Feigin-Stoyanovsky's type subspaces of standard modules for level k affine Lie algebra C_ℓ⁽¹⁾. We prove spanning by using annihilating field x_θ(z)^k+1 of standard modules. In the proof of linear independence we use simple currents and intertwinining operators whose existence is given by fusion rules.

Citations

• Leading terms of relations for standard modules of affine Lie algebras C_n\sp(1)

Related

• Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \gsl(ℓ+1,\C)-modules
• Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 2 standard modules for D₄⁽¹⁾
• Bases of standard modules for affine Lie algebras of type C_ℓ⁽¹⁾
• Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for \mathfrak sl(ℓ+1,\C)
• Presentations of Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebras of type C_ℓ⁽¹⁾