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Publication:3320568
zbMath0536.17007MaRDI QIDQ3320568
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
affine Kac-Moody Lie algebrasweight multiplicitiescomplex simple Lie algebralevel two standard modulesconcrete realizationsZ-algebraslevel one standard modulesbasic moduleminuscule highest weightstype one affine Lie algebra
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (18)
Level-one representations of the affine Lie algebra \(B^{(1)}_ n\) ⋮ Extensions of the Jacobi identity for relative untwisted vertex operators, and generating function identities for untwisted standard modules: The \(A^{(1)}_ 1\)-case ⋮ Extensions of the Jacobi identity for generalized vertex algebras ⋮ Structure of some nonstandard modules for \(C_ n^{(1)}\) ⋮ The algebraic structure of relative twisted vertex operators ⋮ Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace ⋮ Combinatorial bases of principal subspaces for the affine Lie algebra of type \(B_2^{(1)}\) ⋮ A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type ⋮ Vertex-algebraic structure of the principal subspaces of certain \(A_1^{(1)}\)-modules. II: Higher-level case ⋮ Elements of the annihilating ideal of a standard module ⋮ Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules ⋮ Generalized vertex algebras generated by parafermion-like vertex operators ⋮ Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types \(A,D,E\) ⋮ Parafermionic bases of standard modules for affine Lie algebras ⋮ Level two standard \(\tilde A_ n\)-modules ⋮ TKK algebras and vertex operator representations ⋮ Basic representations for classical affine Lie algebras ⋮ Elliptic algebra \(U_{q,p}(\hat{\mathfrak {g}})\) and quantum \(Z\)-algebras
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