Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for

DOI10.1080/00927870903366827zbMath1221.17026arXiv0807.3363OpenAlexW1971937228MaRDI QIDQ3060844

Goran Trupčević

Publication date: 10 December 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3363

zbMATH Keywords

vertex operator algebrasstandard modulesaffine Lie algebracombinatorial bases

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 \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ 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 \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\) ⋮ Bases of Feigin-Stoyanovsky's type subspaces for \(C_\ell ^{(1)}\) ⋮ Quasi-particle fermionic formulas for \((k, 3)\)-admissible configurations ⋮ Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras ⋮ Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras ⋮ Bases of standard modules for affine Lie algebras of type ⋮ Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules ⋮ Presentations of principal subspaces of higher level standard \(A_2^{(2)}\)-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
• Vertex-algebraic structure of the principal subspaces of certain \(A_1^{(1)}\)-modules. II: Higher-level case
• Recurrence relations for characters of affine Lie algebra \(A_{\ell}^{(1)}\)
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Generalized vertex algebras and relative vertex operators
• Introduction to vertex operator algebras and their representations
• Bosonic formulas for (\(k, l\))-admissible partitions
• Basic representations for classical affine Lie algebras
• 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
• Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \(\tilde {\mathfrak {sl}} (\ell +1, \mathbb C)\)-modules
• INTERTWINING VERTEX OPERATORS AND CERTAIN REPRESENTATIONS OF $\widehat{\mathfrak{sl}(n)}$
• AFFINE CRYSTALS AND VERTEX MODELS
• Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities
• THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS
• VERTEX-ALGEBRAIC STRUCTURE OF THE PRINCIPAL SUBSPACES OF CERTAIN $A_{1}^{(1)}$-MODULES, I: LEVEL ONE CASE

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