Level two standard \(\tilde A_ n\)-modules

DOI10.1016/0021-8693(91)90081-IzbMath0717.17018MaRDI QIDQ753936

Kailash C. Misra

Publication date: 1991

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

representationaffine Lie algebrasintegrable highest weightlevel two standard modulesZ-operator

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (10)

A RECURRENCE RELATION FOR CHARACTERS OF HIGHEST WEIGHT INTEGRABLE MODULES FOR AFFINE LIE ALGEBRAS ⋮ Extensions of the Jacobi identity for generalized vertex algebras ⋮ Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace ⋮ Structure of the level two standard modules for the affine lie algebra D⁽³⁾₄ ⋮ ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS ⋮ Structure of certain level 2 standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities ⋮ Quantum z-algebras and representations of quantum affine algebras ⋮ On level two representations of ⋮ ON TENSOR PRODUCT DECOMPOSITION OF $\widehat{\mathfrak{sl}}(n)$ MODULES ⋮ Generating function identities for untwisted standard modules of affine Lie algebras

Cites Work

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• 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
• Vertex operators for non-simply-laced algebras
• Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• Realization of the basic representations of the Euclidean Lie algebras
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Realization of the Level One Standard ~ C   2k+1 -Modules
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• 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
• Realization of the Level Two Standard sl(2k + 1, C) ∼ -Modules
• Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• On the Geometry of Numbers in Elementary Number Theory

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