INTERTWINING VERTEX OPERATORS AND CERTAIN REPRESENTATIONS OF $\widehat{\mathfrak{sl}(n)}$

DOI10.1142/S0219199708002703zbMath1153.17011arXivmath/0611534MaRDI QIDQ3528685

Corina Calinescu

Publication date: 17 October 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611534

zbMATH Keywords

standard modulesrecursionsprincipal subspacesintertwining vertex operators

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (13)

Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \(\tilde {\mathfrak {sl}} (\ell +1, \mathbb C)\)-modules ⋮ Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules ⋮ Combinatorial bases of principal subspaces for the affine Lie algebra of type \(B_2^{(1)}\) ⋮ Quasi-particle fermionic formulas for \((k, 3)\)-admissible configurations ⋮ Jet schemes, quantum dilogarithm and Feigin-Stoyanovsky's principal subspaces ⋮ 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 ⋮ Lattice Vertex Superalgebras, I: Presentation of the Principal Subalgebra ⋮ Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules ⋮ Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types \(A,D,E\) ⋮ Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for ⋮ Recurrence relations for characters of affine Lie algebra \(A_{\ell}^{(1)}\)

Cites Work

• The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators
• Principal subspaces of higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules
• Fermionic characters and arbitrary highest-weight integrable \({\widehat{\mathfrak{sl}}}_{r+1}\)-modules
• 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
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Lie algebraic approaches to classical partition identities
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• The physics superselection principle in vertex operator algebra theory
• Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
• Calculus of twisted vertex operators
• Vertex algebras, Kac-Moody algebras, and the Monster
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS
• Demazure modules and vertex models: The sl̂(2) case
• A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type

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