Quasi-particles in the principal picture of 𝔰𝔩̂2 and Rogers–Ramanujan-type identities (Q3177299)

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Language	Label	Description	Also known as
English	Quasi-particles in the principal picture of 𝔰𝔩̂2 and Rogers–Ramanujan-type identities	scientific article

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scholarly article

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Quasi-particles in the principal picture of 𝔰𝔩̂2 and Rogers–Ramanujan-type identities (English)

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Communications in Contemporary Mathematics

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publication date

30 July 2018

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full work available at URL

https://arxiv.org/abs/1406.1924

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zbMATH Keywords

Rogers-Ramanujan identities

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affine Lie algebras

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quasi-particles

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MaRDI profile type

MaRDI publication profile

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

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Rogers-Ramanujan identities: A century of progress from mathematics to physics

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A generalization of the Rogers-Ramanujan identities for all moduli

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AN ANALYTIC GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES WITH INTERPRETATION

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Combinatorial bases of principal subspaces for the affine Lie algebra of type \(B_2^{(1)}\)

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Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types \(A,D,E\)

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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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ON MULTI-COLOR PARTITIONS AND THE GENERALIZED ROGERS–RAMANUJAN IDENTITIES

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Principal subspaces for quantum affine algebra \(U_q(A_n^{(1)})\)

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Introduction to vertex operator algebras and their representations

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Lie algebraic approaches to classical partition identities

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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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A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities

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

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Functional models of the representations of current algebras and semi-infinite Schubert cells

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Identifiers

zbMATH Open document ID

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10.1142/S0219199717500730

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:3177299

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