TKK algebras and vertex operator representations

DOI10.1006/jabr.1998.7604zbMath0934.17017OpenAlexW2089449596MaRDI QIDQ1279824

Shaobin Tan

Publication date: 18 April 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7604

zbMATH Keywords

vertex operatorsTKK algebrauniversal central extensionTits-Kantor-Koecher construction

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (19)

Derivations and invariant forms of Jordan and alternative tori ⋮ Wakimoto modules for twisted multi-loop algebra of type \(A_1 \times A_1\) ⋮ Automorphism Group of a Class of Gradation Shifting Toroidal Lie Algebras ⋮ Imaginary Verma Modules for the Extended Affine Lie Algebrasl₂(ℂ_q) ⋮ Structure and representation for a class of infinite-dimensional Lie algebras ⋮ Vertex operator representations for TKK algebras ⋮ Constructing irreducible integrable modules for extended baby TKK algebra ⋮ Vertex algebras and TKK algebras ⋮ Graded automorphism group of TKK Lie algebra over semilattice ⋮ A quantized Tits-Kantor-Koecher algebra ⋮ Graded automorphism group of TKK algebra ⋮ A quantized Tits-Kantor-Koecher algebra ⋮ Hermitian representations of a TKK algebra ⋮ Categories of Jordan Structures and Graded Lie Algebras ⋮ Irreducible modules for extended affine Lie algebras ⋮ Irreducible Representations for the Baby Tits–Kantor–Koecher Algebra ⋮ Automorphism group and representation of a twisted multi-loop algebra ⋮ A unified view of some vertex operator constructions ⋮ Representations of a class of lattice type vertex algebras

Cites Work

• Toroidal Lie algebras and vertex representations
• Derivations and central extensions of finitely generated graded Lie algebras
• The arithmetic theory of loop groups
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
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• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
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• Central extensions of Lie algebras graded by finite root systems
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Extended affine Lie algebras and their root systems
• Principal vertex operator representations for toroidal Lie algebras
• Central Quotients and Coverings of Steinberg Unitary Lie Algebras
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