Quasi-particle fermionic formulas for (k,3)-admissible configurations

2011/07/20 by Miroslav Jerković, Miroslav Jerkovic, Jerkovic, Miroslav +2
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1107.3900

18 pages

arxiv created 2011/07/20 · openalex publication_date 2011/07/20 · arxiv updated 2011/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct new monomial quasi-particle bases of Feigin-Stoyanovsky's type subspaces for affine Lie algebra \mathfraksl(3,ℂ)^\widetilde from which the known fermionic-type formulas for (k,3)-admissible configurations follow naturally. In the proof we use vertex operator algebra relations for standard modules and coefficients of intertwining operators.

Citations

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

Related

• Fermionic formulas for (k, 3)-admissible configurations
• Quasi-particle bases of principal subspaces for the affine Lie algebras of types B_l⁽¹⁾ and C_l⁽¹⁾
• Combinatorial bases of principal subspaces for affine Lie algebra of type B₂^(1)
• (k,r)-admissible configurations and intertwining operators
• Quasi-particle bases of principal subspaces of the affine Lie algebra of type G₂⁽¹⁾