On universal conformal envelopes for quadratic Lie conformal algebras. (English) Zbl 07808420
Summary: We prove that every quadratic Lie conformal algebra constructed on a special Gel’fand-Dorfman algebra embeds into the universal enveloping associative conformal algebra with a locality function bound \(N = 3\).
MSC:
| 17B35 | Universal enveloping (super)algebras |
| 17B63 | Poisson algebras |
| 17B69 | Vertex operators; vertex operator algebras and related structures |
Keywords:
associative conformal envelopes; Gel’fand-Dorfman algebras; Lie conformal algebras; Poisson envelopesReferences:
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