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Generalized Vertex Algebras and Relative Vertex Operators
Language: en
Pages: 207
Authors: Chongying Dong
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed a
Introduction to Vertex Operator Algebras and Their Representations
Language: en
Pages: 344
Authors: James Lepowsky
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Springer Science & Business Media

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The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts
Vertex Operator Algebras and the Monster
Language: en
Pages: 508
Authors: Igor Frenkel
Categories: Mathematics
Type: BOOK - Published: 1989-04-11 - Publisher: Academic Press

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This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular
Vertex Operator Algebras and Related Areas
Language: en
Pages: 246
Authors: M. J. Bergvelt
Categories: Mathematics
Type: BOOK - Published: 2009-10-01 - Publisher: American Mathematical Soc.

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Vertex operator algebras were introduced to mathematics in the work of Richard Borcherds, Igor Frenkel, James Lepowsky and Arne Meurman as a mathematically rigo
Vertex Algebras and Algebraic Curves
Language: en
Pages: 418
Authors: Edward Frenkel
Categories: Mathematics
Type: BOOK - Published: 2004-08-25 - Publisher: American Mathematical Soc.

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Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras ar