Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras

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We exhibit a connection between Etingof-Kazhdan's notion of pseudoderivation and a certain construction of simple current modules for a vertex operator algebra and meanwhile we introduce and study a notion of pseudoendomorphism (pseudoautomorphism).
11 pages; to appear in the Proceedings of the Virginia conference ``Infinite Dimensional Aspects of Representation Theory and Applications,'' May 18-22, 2004

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