Some combinatorial coincidences for standard representations of affine\n Lie algebras

2018/12/02 by Mirko Primc, Primc, Mirko
Computer Science · Mathematics · #05A19 (Secondary) #17B67 (Primary) #17B69 #Advanced Topics in Algebra #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1812.00405

openalex publication_date 2018/12/02 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

In this note we explain, in terms of finite dimensional representations of\nLie algebras mathfraksp_2\ℓ\⊂ mathfraksl_2\ℓ, a\ncombinatorial coincidence of difference conditions in two constructions of\ncombinatorial bases for standard representations of symplectic affine Lie\nalgebras.\n

Related

• Recurrence relations for characters of affine Lie algebra A_ℓ⁽¹⁾
• Relations for annihilating fields of standard modules for affine Lie algebras
• Leading terms of relations for standard modules of affine Lie algebras C_n\sp(1)
• Combinatorial representation theory of Lie algebras. Richard Stanley's work and the way it was continued
• Combinatorial bases of modules for affine Lie algebra B₂^(1)