On Associative Conformal Algebras of Linear Growth

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Lie conformal algebras appear in the theory of vertex algebras. Their relation is similar to that of Lie algebras and their universal enveloping algebras. Associative conformal algebras play a role in conformal representation theory. We introduce the notions of conformal identity and unital associative conformal algebras and classify finitely generated simple unital associative conformal algebras of linear growth. These are precisely the complete algebras of conformal endomorphisms of finite modules.
AMS-TeX,19 pages

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Quantum Algebra, Rings and Algebras, 16P90, 17B69

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http://salesiana.dossiersoluciones.com/handle/123456789/59288

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005258
 http://arxiv.org/abs/math/0005258

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arXiv