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

2015/06/16 by Mirko Primc, Primc, Mirko, Tomislav Šikić +1
Mathematics · #05A19 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Primary (17B67) #Quantum Algebra (math.QA) #Secondary (17B69)

paper · pdf · doi:10.48550/arxiv.1506.05026

openalex publication_date 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a combinatorial parametrization of leading terms of defining relations for level k standard modules for affine Lie algebra of type C_n\sp(1). Using this parametrization we conjecture colored Rogers-Ramanujan type combinatorial identities for n≥ 2 and k≥ 2; the identity in the case n=k=1 is equivalent to one of Capparelli's identities.

Citations

• The A_2n⁽²⁾ Rogers-Ramanujan identities
• Local systems of vertex operators, vertex superalgebras and modules

Related

• Combinatorial bases of basic modules for C_n\sp(1)
• Combinatorial relations among relations of C₂\sp(1)-standard modules for higher levels
• Relations for annihilating fields of standard modules for affine Lie algebras
• Combinatorial relations among relations for level 2 standard C_n\sp(1)-modules
• New Partition Identities From C_ℓ⁽¹⁾-Modules