Recurrence relations for characters of affine Lie algebra \(A_{\ell}^{(1)}\)

DOI10.1016/j.jpaa.2008.10.001zbMath1183.17012arXiv0803.1502OpenAlexW2050742866WikidataQ115345589 ScholiaQ115345589MaRDI QIDQ1008741

Miroslav Jerković

Publication date: 30 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1502

zbMATH Keywords

charactersintertwining operatorsrecurrence relationsaffine Lie algebrasstandard modulesFeigin-Stoyanovsky type subspace

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 (12)

Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \(\tilde {\mathfrak {sl}} (\ell +1, \mathbb C)\)-modules ⋮ Vertex-algebraic structure of principal subspaces of basic \(D_4^{(3)}\)-modules ⋮ 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 ⋮ Character formulas for Feigin-Stoyanovsky's type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\sim}\)-modules ⋮ Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras ⋮ Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 2 Standard Modules for ⋮ Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules ⋮ Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for ⋮ Principal subspaces of twisted modules for certain lattice vertex operator algebras

Cites Work

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• Basic representations of affine Lie algebras and dual resonance models
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• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• Generalized vertex algebras generated by parafermion-like vertex operators

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