Principal vertex operator representations for toroidal Lie algebras

Yuly Billig

doi:10.1063/1.532472

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Principal vertex operator representations for toroidal Lie algebras

Yuly Billig

Year: 1998 Journal: Journal of Mathematical Physics Vol: 39 (7)Pages: 3844-3864 Publisher: American Institute of Physics

DOI: 10.1063/1.532472

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Abstract

We introduce the principal vertex operator representations for the toroidal Lie algebras generalizing the construction for the affine Kac–Moody algebras. We also represent the derivations of the toroidal algebras and introduce analogs of the Sugawara operators.

Keywords:

Lie conformal algebra Vertex (graph theory) Mathematics Affine transformation Operator algebra Lie algebra Pure mathematics Operator (biology) Affine Lie algebra Algebra over a field Principal (computer security) Toroid Vertex operator algebra Current algebra Physics Discrete mathematics Computer science Jordan algebra Quantum mechanics Graph

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Principal vertex operator representations for toroidal Lie algebras

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