publication . Preprint . 2000

On Associative Conformal Algebras of Linear Growth

Retakh, Alexander;
Open Access English
  • Published: 25 May 2000
Abstract
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.
Subjects
arXiv: Quantitative Biology::Biomolecules
free text keywords: Mathematics - Quantum Algebra, Mathematics - Rings and Algebras, 16P90, 17B69
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Preprint . 2000
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Department of Mathematics, Yale University, New Haven, CT, 06520 E-mail address: retakh@math.yale.edu

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