Irreducible Virasoro modules from tensor products (II)
TLDR
In this article, a tensor product of a finite number of irreducible Virasoro modules of the form Ω ( λ i, a i ) was obtained.About:
This article is published in Journal of Algebra.The article was published on 2013-11-15 and is currently open access. It has received 48 citations till now. The article focuses on the topics: Tensor product of modules & Irreducible element.read more
Citations
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Simple Virasoro modules which are locally finite over a positive part
Volodymyr Mazorchuk,Kaiming Zhao +1 more
TL;DR: In this paper, a general construction of simple Virasoro modules generalizing and including both highest weight and Whittaker modules is proposed, which enables us to classify all simple VMs that are locally finite over a positive part, using simple modules over a family of finite dimensional solvable Lie algebras.
Journal ArticleDOI
Irreducible Virasoro modules from irreducible Weyl modules
TL;DR: In this article, the authors used Block's results to classify irreducible modules over the differential operator algebra C [ t, t − 1, d d t ] and used the twisting technique to construct a class of modules A b over the Virasoro algebra for any b ∈ C.
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Wn+- and Wn-module structures on U(hn)
TL;DR: In this article, the authors classify the modules over W n + and W n n which are free U ( h n ) -modules of rank 1. And they show that the modules of W n+ are the W n -modules for some Λ n ∈ ( C ⁎ ) n and some a ∈ C.
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A class of simple weight virasoro modules
TL;DR: For a simple module M over the positive part of the Virasoro algebra and any α ∈ C, a class of weight modules N (M, α ) over the Virrasoro algebra is constructed in this paper.
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A class of simple weight Virasoro modules
TL;DR: The necessary and sufficient conditions for two irreducible weight Virasoro modules to be isomorphic are given in this article, where many examples for such irreducerible weight modules with different features are provided.
References
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Book
Infinite Dimensional Lie Algebras
TL;DR: The invariant bilinear form and the generalized casimir operator are integral representations of Kac-Moody algebras and the weyl group as mentioned in this paper, as well as a classification of generalized cartan matrices.
Book
Conformal Field Theory
TL;DR: This paper developed conformal field theory from first principles and provided a self-contained, pedagogical, and exhaustive treatment, including a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algesas.
Journal ArticleDOI
Kac-Moody and Virasoro Algebras in Relation to Quantum Physics
Peter Goddard,David I. Olive +1 more
Book
Introduction to Vertex Operator Algebras and Their Representations
James Lepowsky,Haisheng Li +1 more
TL;DR: In this paper, the notion of vertex operator algebra was introduced and a formal series and the formal delta function were derived from the axiomatic definition of a vertex operator and its application in the formal calculus.
Book
Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
Victor G. Kac,A. K. Raina +1 more
TL;DR: A collection of a series of lectures given by Prof. V Kac at the Tata Institute, India in Dec '85 and Jan '86 is presented in this article, where the authors focus on the idea of a highest weight representation, which goes through four different incarnations.
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Irreducible Virasoro modules from irreducible Weyl modules
Simple Virasoro modules which are locally finite over a positive part
Volodymyr Mazorchuk,Kaiming Zhao +1 more