Character formulas for Feigin-Stoyanovsky's type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\sim}\)-modules

DOI10.1007/s11139-011-9347-5zbMath1271.17016arXiv1105.2927OpenAlexW1992253479MaRDI QIDQ427276

Miroslav Jerković

Publication date: 13 June 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2927

zbMATH Keywords

recurrence relationsaffine Lie algebrasFeigin-Stoyanovsky's type subspacefermionic type character formulas

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (11)

Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ Vertex-algebraic structure of principal subspaces of basic \(D_4^{(3)}\)-modules ⋮ Some remarks on associated varieties of vertex operator superalgebras ⋮ Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules ⋮ Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\) ⋮ Quasi-particle fermionic formulas for \((k, 3)\)-admissible configurations ⋮ A combinatorial proof and refinement of a partition identity of Siladić ⋮ Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras ⋮ Lattice Vertex Superalgebras, I: Presentation of the Principal Subalgebra ⋮ Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules ⋮ Principal subspaces of twisted modules for certain lattice vertex operator algebras

Cites Work

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• The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators
• Principal subspaces of higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules
• Recurrence relations for characters of affine Lie algebra \(A_{\ell}^{(1)}\)
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Vertex operator construction of standard modules for \(A_ n^{(1)}\)
• Bosonic formulas for (\(k, l\))-admissible partitions
• Fermionic formulas for \((k,3)\)-admissible configurations
• Particle content of the \((k,3)\)-configurations
• Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
• INTERTWINING VERTEX OPERATORS AND CERTAIN REPRESENTATIONS OF $\widehat{\mathfrak{sl}(n)}$
• Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian
• THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

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