dorsal/arxiv
View SchemaCertain associative algebras similar to $U(sl_{2})$ and Zhu's algebra $A(V_{L})$
| Authors | Chongying Dong, Haisheng Li, Geoffrey Mason |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605032 |
| URL | https://arxiv.org/abs/q-alg/9605032 |
Abstract
It is proved that Zhu's algebra for vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of certain associative algebra introduced by Smith. Zhu's algebra for vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to a generalization of Smith's algebra.
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"date_created": "2026-03-02T18:01:27.610000Z",
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"abstract": "It is proved that Zhu\u0027s algebra for vertex operator algebra associated to a\npositive-definite even lattice of rank one is a finite-dimensional\nsemiprimitive quotient algebra of certain associative algebra introduced by\nSmith. Zhu\u0027s algebra for vertex operator algebra associated to any\npositive-definite even lattice is also calculated and is related to a\ngeneralization of Smith\u0027s algebra.",
"arxiv_id": "q-alg/9605032",
"authors": [
"Chongying Dong",
"Haisheng Li",
"Geoffrey Mason"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Certain associative algebras similar to $U(sl_{2})$ and Zhu\u0027s algebra $A(V_{L})$",
"url": "https://arxiv.org/abs/q-alg/9605032"
},
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