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Titlebook: Introduction to Vertex Operator Algebras and Their Representations; James Lepowsky,Haisheng Li Textbook 2004 Springer Science+Business Med

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书目名称Introduction to Vertex Operator Algebras and Their Representations
编辑James Lepowsky,Haisheng Li
视频video
概述Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples.Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applic
丛书名称Progress in Mathematics
图书封面Titlebook: Introduction to Vertex Operator Algebras and Their Representations;  James Lepowsky,Haisheng Li Textbook 2004 Springer Science+Business Med
出版日期Textbook 2004
关键词Group theory; Lattice; Representation theory; algebra; ring theory
版次1
doihttps://doi.org/10.1007/978-0-8176-8186-9
isbn_softcover978-1-4612-6480-4
isbn_ebook978-0-8176-8186-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media New York 2004
The information of publication is updating

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Representations of Vertex Algebras and, the Construction of Vertex Algebras and, Modules,s, in particular, the theories of Lie algebras and, of associative algebras, this notion of representation is distinct from the notion of ., but the two notions will turn out to be essentially equivalent.
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Vertex Operator Algebras: The Axiomatic Basics,y and, string theory. Our treatment is based on [B1], [FLM6], [FHL], [DL3] and, [Li3]. In Section 3.3 we include a discussion of the relations between the mathematical treatment of “associativity” presented here and, operator product expansions in the sense of conformai field theory and, string theory.
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Modules,and, a large amount of material in Chapter 3 carries over in the obvious ways, often without change. In this chapter, we carry out many of these analogues, and we also discuss some additional concepts.
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https://doi.org/10.1007/978-0-8176-8186-9Group theory; Lattice; Representation theory; algebra; ring theory
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Introduction,Vertex operator algebra theory has deep roots and, deep applications in mathematics and, physics. Both string theory in physics and, “monstrous moonshine” in mathematics played crucial roles in the development of the theory, as we shall sketch briefly.
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