The Jacobi Identity for Relative Twisted Vertex Operators Associated with the Roots of the Lie Algebras and , and the Generating Function Identities for Level-kStandard and -Modules
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Publication:3579884
DOI10.1080/00927870903400030zbMath1261.17028OpenAlexW2047702864MaRDI QIDQ3579884
Publication date: 11 August 2010
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870903400030
Jacobi identityRogers-Ramanujan identitiesvertex operatorstwisted vertex operatorsinfinite dimensional Lie algebragenerating function identitiesCapparelli identitiesrelative twisted vertex operatorsZ-operatorsrelative vertex operators
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Cites Work
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- 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
- On some representations of twisted affine Lie algebras and combinatorial identities
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Extensions of the Jacobi identity for relative untwisted vertex operators, and generating function identities for untwisted standard modules: The \(A^{(1)}_ 1\)-case
- Introduction to vertex operator algebras and their representations
- Level three standard modules \(A^{(2)}_ 2\) and combinatorial identities
- Extensions of the Jacobi identity for generalized vertex algebras
- The algebraic structure of relative twisted vertex operators
- A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
- Generating function identities for untwisted standard modules of affine Lie algebras
- 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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