Structure of certain level 2 standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities

DOI10.1007/s11139-016-9875-0zbMath1426.17013OpenAlexW2587572421MaRDI QIDQ1743637

Shashank Kanade

Publication date: 13 April 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9875-0

zbMATH Keywords

vertex operator algebrasGöllnitz-Gordon identitiesLepowsky-Wilson \(Z\)-algebras

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Vertex operators; vertex operator algebras and related structures (17B69) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (5)

A motivated proof of the Göllnitz-Gordon-Andrews identities ⋮ Proofs and reductions of various conjectured partition identities of Kanade and Russell ⋮ Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type ⋮ A variant of \texttt{IdentityFinder} and some new identities of Rogers-Ramanujan-MacMahon type ⋮ Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Level two standard \(\tilde A_ n\)-modules
• Structure of certain standard modules for \(A_ n^{(1)}\) and the Rogers-Ramanujan identities
• Structure of some standard modules for \(C_ n^{(1)}\)
• 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
• Level one standard modules for affine symplectic Lie algebras
• On some representations of twisted affine Lie algebras and combinatorial identities
• Lie algebraic approaches to classical partition identities
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Level two standard \(D_{I+1}^{(2)}\)-modules
• Introduction to vertex operator algebras and their representations
• An application of crystal bases to representations of affine Lie algebras
• A motivated proof of the Göllnitz-Gordon-Andrews identities
• Some continued fractions of the Rogers-Ramanujan type
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
• Calculus of twisted vertex operators
• Structure of the level one standard modules for the affine Lie algebras 𝐵_{𝑙}⁽¹⁾,𝐹⁽¹⁾₄ and 𝐺⁽¹⁾₂
• Calculus of principally twisted vertex operators
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Structure of the level two standard modules for the affine lie algebra D⁽³⁾₄
• On the general Rogers-Ramanujan theorem
• Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities
• Level two representations of and Rogers-Ramanujan identities
• Coding the principal character formula for affine Kac-Moody lie algebras
• A BASIS OF THE BASIC $\mathfrak{sl} ({\bf 3}, {\mathbb C})^~$-MODULE
• A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type
• Some developments in vertex operator algebra theory, old and new
• A Generalization of the Gollnitz-Gordon Partition Theorems
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• Partitionen mit Differenzenbedingungen.

This page was built for publication: Structure of certain level 2 standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities