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Vertex algebras for beginners

Author: Victor G Kac
Publisher: Providence, R.I. : American Mathematical Society, ©1998.
Series: University lecture series (Providence, R.I.), 10.
Edition/Format:   Print book : English : 2nd edView all editions and formats
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This book is an introduction to algebraic aspects of conformal field theory, which has revealed a variety of unusual mathematical notions. This book is intended for graduate students, research  Read more...

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Additional Physical Format: Online version:
Kac, Victor G., 1943-
Vertex algebras for beginners.
Providence, R.I. : American Mathematical Society, ©1998
(OCoLC)872655915
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Victor G Kac
ISBN: 082181396X 9780821813966 0821806432 9780821806432
OCLC Number: 39727958
Description: vi, 201 pages ; 25 cm.
Contents: Ch. 1. Wightman axioms and vertex algebras. 1.1. Wightman axioms of a QFT. 1.2. d = 2 QFT and chiral algebras. 1.3. Definition of a vertex algebra. 1.4. Holomorphic vertex algebras --
Ch. 2. Calculus of formal distributions. 2.1. Formal delta-function. 2.2. An expansion of a formal distribution a(z, w) and formal Fourier transform. 2.3. Locality of two formal distributions. 2.4. Taylor's formula. 2.5. Current algebras. 2.6. Conformal weight and the Virasoro algebra. 2.7. Formal distribution Lie superalgebras and conformal superalgebras. 2.8. Conformal modules and modules over conformal superalgebras. 2.9. Representation theory of finite conformal algebras. 2.10. Associative conformal algebras and the general conformal algebra.
Series Title: University lecture series (Providence, R.I.), 10.
Responsibility: Victor Kac.

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Essential reading for anyone trying to learn about vertex algebras. Bulletin of the LMS Very good introductional book on vertex algebras. Zentralblatt fur Mathematik

 
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