dorsal/arxiv
View SchemaVertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$
| Authors | Drazen Adamovic, Antun Milas |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9509025 |
| URL | https://arxiv.org/abs/q-alg/9509025 |
| Journal | Math. Res. Lett. 2 (1995) 563-575 |
Abstract
We investigate vertex operator algebras $L(k,0)$ associated with modular-invariant representations for an affine Lie algebra $A_1 ^{(1)}$ , where k is 'admissible' rational number. We show that VOA $L(k,0)$ is rational in the category $\cal O$ and find all irreducible representations in the category of weight modules.
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"abstract": "We investigate vertex operator algebras $L(k,0)$ associated with\nmodular-invariant representations for an affine Lie algebra $A_1 ^{(1)}$ ,\nwhere k is \u0027admissible\u0027 rational number. We show that VOA $L(k,0)$ is rational\nin the category $\\cal O$ and find all irreducible representations in the\ncategory of weight modules.",
"arxiv_id": "q-alg/9509025",
"authors": [
"Drazen Adamovic",
"Antun Milas"
],
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"journal_ref": "Math. Res. Lett. 2 (1995) 563-575",
"title": "Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$",
"url": "https://arxiv.org/abs/q-alg/9509025"
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