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lgli/M_Mathematics/Msb_Sborniki/Mmams_Memoirs AMS/Frenkel I.B., Huang Y., Lepowsky J. On axiomatic approaches to vertex operator algebras and modules (MEMO0494, AMS, 1993)(ISBN 9780821825556)(600dpi)(T)(O)(79s).djvu
On Axiomatic Approaches To Vertex Operator Algebras And Modules (memoirs Of The American Mathematica 🔍
Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky American Mathematical Society, Memoirs of the American Mathematical Society,, no. 494, Providence, R.I, Rhode Island, 1993
英语 [en] · DJVU · 0.7MB · 1993 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
The notion of vertex operator algebra arises naturally in the vertex operator construction of the Monster—the largest sporadic finite simple group. From another perspective, the theory of vertex operator algebras and their modules forms the algebraic foundation of conformal field theory. Vertex operator algebras and conformal field theory are now known to be deeply related to many important areas of mathematics. This essentially self-contained monograph develops the basic axiomatic theory of vertex operator algebras and their modules and intertwining operators, following a fundamental analogy with Lie algebra theory. The main axiom, the “Jacobi(-Cauchy) identity”, is a far-reaching analog of the Jacobi identity for Lie algebras. The authors show that the Jacobi identity is equivalent to suitably formulated rationality, commutativity, and associativity properties of products of quantum fields. A number of other foundational and useful results are also developed. This work was originally distributed as a preprint in 1989, and in view of the current widespread interest in the subject among mathematicians and theoretical physicists, its publication and availability should prove no less useful than when it was written.
备用文件名
nexusstc/On Axiomatic Approaches to Vertex Operator Algebras and Modules/de3eb93805d90954c960fdffbdfc23b2.djvu
备用文件名
lgli/Frenkel_I.B.__Huang_Y.__Lepowsky_J._On_axiomatic_approaches_to_vertex_operator_algebras_and_modules_(MEMO0494__AMS__1993)(ISBN_9780821825556)(600dpi)(T)(O)(79s).djvu
备用文件名
lgrsnf/Frenkel_I.B.__Huang_Y.__Lepowsky_J._On_axiomatic_approaches_to_vertex_operator_algebras_and_modules_(MEMO0494__AMS__1993)(ISBN_9780821825556)(600dpi)(T)(O)(79s).djvu
备用文件名
zlib/Mathematics/Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky/On Axiomatic Approaches to Vertex Operator Algebras and Modules_3348992.djvu
备选标题
Memoirs of the American Mathematical Society
备选作者
Frenkel, Igor; Lepowsky, J.; Huang, Yi-Zhi
备选作者
Frenkel, Igor B., Huang, Yi-zhi, Lepowsk
备用版本
United States, United States of America
元数据中的注释
0
元数据中的注释
lg2107156
元数据中的注释
{"isbns":["0821825550","9780821825556"],"last_page":64,"publisher":"Amer Mathematical Society","series":"Memoirs AMS 494"}
元数据中的注释
Includes bibliographical references (p. 64).
"July 1993, vol. 104, no. 494 (first of 6 numbers)."
备用描述
The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural and useful reformulations of the axioms are given. In particular, tensor products of algebras and modules, adjoint vertex operators and contragradient modules, adjoint intertwining operators and fusion rules are studied in greater depth. This paper lays the monodromy-free axiomatic foundation of the general theory of vertex operator algebras, modules and intertwining operators
开源日期
2017-09-11
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