One 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. A Lie pseudoalgebra is a generalization of the notion of a Lie conformal algebra for which C [ ∂ ] is replaced by the universal enveloping algebra H of a finite-dimensional Lie algebra. The finite (i.e., finitely generated over H) simple Lie pseudoalgebras were classified in our previous work [B.Bakalov, A.D'Andrea, V.G. Kac, Theory of finite pseudoalgebras, Adv. Math. 162 (2001) 1-140]. In a series of papers, starting with the present one, we classify all irreducible finite modules over finite simple Lie pseudoalgebras. © 2005 Elsevier Inc. All rights reserved.
Bakalov B., D'Andrea A., Kac V.G. (2006). Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S. ADVANCES IN MATHEMATICS, 204(1), 293-361 [10.1016/j.aim.2005.07.003].
Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S
D'Andrea A.;
2006
Abstract
One 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. A Lie pseudoalgebra is a generalization of the notion of a Lie conformal algebra for which C [ ∂ ] is replaced by the universal enveloping algebra H of a finite-dimensional Lie algebra. The finite (i.e., finitely generated over H) simple Lie pseudoalgebras were classified in our previous work [B.Bakalov, A.D'Andrea, V.G. Kac, Theory of finite pseudoalgebras, Adv. Math. 162 (2001) 1-140]. In a series of papers, starting with the present one, we classify all irreducible finite modules over finite simple Lie pseudoalgebras. © 2005 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
