The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators (Q874908)

scientific article

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English	The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators	scientific article

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scholarly article

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title

The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators (English)

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The Ramanujan Journal

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publication date

10 April 2007

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full work available at URL

https://arxiv.org/abs/math/0310080

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zbMATH Keywords

Affine Lie algebras

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Difference equations

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Vertex operator algebras

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MaRDI profile type

MaRDI publication profile

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cites work

An Analytic Proof of the Rogers-Ramanujan-Gordon Identities

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Partition theorems related to the Rogers-Ramanujan identities

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Some new partition theorems

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An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

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Q4146776

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A generalization of the Rogers-Ramanujan identities for all moduli

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Analytic and combinatorial generalizations of the Rogers-Ramanujan identities

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THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

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Generalized vertex algebras and relative vertex operators

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Q4274268

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Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants

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Combinatorics of the \(\widehat{\mathfrak{sl}}_2\) spaces of coinvariants: loop Heisenberg modules and recursion

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Q4797986

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On the finitization of the Gordon identities

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Weil representation and norms of Gaussian operators

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On axiomatic approaches to vertex operator algebras and modules

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Basic representations of affine Lie algebras and dual resonance models

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Q3994993

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace

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A Combinatorial Generalization of the Rogers-Ramanujan Identities

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Q4040877

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Introduction to vertex operator algebras and their representations

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Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁

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Construction of the affine Lie algebra \(A^{(1)}_1\)

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A new family of algebras underlying the Rogers-Ramanujan identities and generalizations

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The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities

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The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation

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Local systems of vertex operators, vertex superalgebras and modules

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Determining fusion rules by \(A(V)\)-modules and bimodules

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Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities

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Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities

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Unitary representations of some infinite dimensional groups

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Q3477023

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Identifiers

zbMATH Open document ID

1166.17009

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DOI

10.1007/s11139-006-0150-7

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:874908