Irreducible Modules over Finite Simple Lie Pseudoalgebras I. Primitive Pseudoalgebras of Type W and S

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dc.creatorBakalov, B.
dc.creatorD'Andrea, A.
dc.creatorKac, V. G.
dc.date2004-10-07
dc.date2005-06-20
dc.date.accessioned2026-07-07T06:30:28Z
dc.date.available2026-07-07T06:30:28Z
dc.descriptionOne of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal algebra [K]. A Lie pseudoalgebra is a generalization of the notion of a Lie conformal algebra for which C[\partial] is replaced by the universal enveloping algebra H of a finite-dimensional Lie algebra [BDK]. The finite (i.e., finitely generated over H) simple Lie pseudoalgebras were classified in [BDK]. In a series of papers, starting with the present one, we classify all irreducible finite modules over finite simple Lie pseudoalgebras.
dc.description51 pages; minor changes
dc.identifierhttps://arxiv.org/abs/math/0410213
dc.identifierhttp://arxiv.org/abs/math/0410213
dc.identifierAdv. Math. 204 (2006), no. 1, 278-346
dc.identifierdoi:10.1016/j.aim.2005.07.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98346
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleIrreducible Modules over Finite Simple Lie Pseudoalgebras I. Primitive Pseudoalgebras of Type W and S
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