Vertex operator representations of type \(C_l^{(1)}\) and product-sum identities

DOI10.1007/s11253-014-0927-6zbMath1333.17024arXiv1401.8027OpenAlexW2074146508MaRDI QIDQ2259521

Hu, Naihong, Li-Meng Xia

Publication date: 4 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.8027

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

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• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
• Irreducible representations of Virasoro-toroidal Lie algebras
• Vertex representations for toroidal Lie algebra of type \(G_2\)
• Irreducible representations for Virasoro-toroidal Lie algebras
• Affine Lie algebras and product-sum identities
• Realization of the Level One Standard ~ C   2k+1 -Modules
• Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
• A Simple Proof of the Quintuple Product Identity

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