Generalized Vertex Algebras and Relative Vertex Operators

Name: Generalized Vertex Algebras and Relative Vertex Operators
Brand: Springer, Basel
SKU: 9780817637217
Price: 39475 HUF
Availability: InStock

Szerző: Chongying Dong, James Lepowsky

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer, Basel

Elérhetőség: Beszállítói készleten

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The rapidly-evolving theory of vertex operator algebras provides deep insight into many important al...

Információk a könyvről

Szerző

Chongying Dong, James Lepowsky

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

1993

oldal

206

EAN

9780817637217

ISBN

0817637214

Enbook ID

01399040

Kiadó

Springer, Basel

Súly

490

Méretek

155 x 235 x 14

Teljes leírás

The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras. They are mathematically precise counterparts of what are known in physics as chiral algebras, and in particular, they are intimately related to string theory and conformal field theory.§Dong and Lepowsky have generalized the theory of vertex operator algebras in a systematic way at three successively more general levels, all of which incorporate one-dimensional braid groups representations intrinsically into the algebraic structure: First, the notion of "generalized vertex operator algebra" incorporates such structures as Z-algebras, parafermion algebras, and vertex operator superalgebras. Next, what they term "generalized vertex algebras" further encompass the algebras of vertex operators associated with rational lattices. Finally, the most general of the three notions, that of "abelian intertwining algebra," also illuminates the theory of intertwining operator for certain classes of vertex operator algebras.§The monograph is written in a n accessible and self-contained manner, with detailed proofs and with many examples interwoven through the axiomatic treatment as motivation and applications. It will be useful for research mathematicians and theoretical physicists working the such fields as representation theory and algebraic structure sand will provide the basis for a number of graduate courses and seminars on these and related topics.

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Generalized Vertex Algebras and Relative Vertex Operators

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