REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS

Ching Hung Lam

doi:10.1081/agb-100001659

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REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS

Ching Hung Lam

Year: 2001 Journal: Communications in Algebra Vol: 29 (3)Pages: 951-971 Publisher: Taylor & Francis

DOI: 10.1081/agb-100001659

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Abstract

We study the representations of ternary code vertex operator algebras. Our main result is that all irreducible untwisted modules of a ternary code VOA M D can be constructed using a notion of induced modules based on the ternary code D. In addition, we compute certain twisted modules of M D using the similar method.

Keywords:

Ternary operation Mathematics Vertex (graph theory) Code (set theory) Vertex operator algebra Operator (biology) Ternary Golay code Operator algebra Pure mathematics Combinatorics Algebra over a field Discrete mathematics Algebra representation Algorithm Chemistry Computer science Jordan algebra Block code Linear code Programming language 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

REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS

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