Unital associative pseudoalgebras and their representations

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Pseudoalgebras, introduced in [BDK], are multi-dimensional analogues of conformal algebras, which provide an axiomatic description of the singular part of the operator product expansion. Our main interest in this paper is the pseudoalgebra Cend_n, which is the analogue of an algebra of endomorphisms of a finite module. We study its algebraic properties. In particular, we introduce the class of unital pseudoalgebras and describe their structure and representations. Also, we classify pseudoalgebras algebraically similar to Cend_n.
29 pages, AMS-LaTeX; several examples added

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Quantum Algebra, Rings and Algebras, Representation Theory, 16S99 (Primary) 17B37, 81R10, 16P70 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62208

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109110
 http://arxiv.org/abs/math/0109110

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arXiv