We classify the irreducible modules for the fixed point vertex operator subalgebra of the vertex operator algebra associated to the Heisenberg algebra with central charge 1 under the y1 automorphism.
Vertex Representations for the ν + 1-Toroidal Lie Algebra of Type Bl
✍ Scribed by Jiang Cuipo; Meng Daoji
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 239 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
We give vertex operator constructions for the toroidal Lie algebra of type B l ν ≥ 1 l ≥ 2 . We prove that the subquotients of the modules are completely reducible, and give the irreducible decomposition.
📜 SIMILAR VOLUMES
The vertex operator algebra M 1 + is the fixed point set of free bosonic vertex operator algebra M 1 of rank l under the -1 automorphism. All irreducible modules for M 1 + are classified in this paper for any l.
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