书目名称 | Vertex Operators in Mathematics and Physics |
副标题 | Proceedings of a Con |
编辑 | J. Lepowsky,S. Mandelstam,I. M. Singer |
视频video | http://file.papertrans.cn/983/982356/982356.mp4 |
丛书名称 | Mathematical Sciences Research Institute Publications |
图书封面 |  |
描述 | James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development |
出版日期 | Conference proceedings 1985 |
关键词 | Lie algebra; Operator (Math; ); Operators; Physics; Scheitel (Math; ) |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4613-9550-8 |
isbn_softcover | 978-1-4613-9552-2 |
isbn_ebook | 978-1-4613-9550-8Series ISSN 0940-4740 |
issn_series | 0940-4740 |
copyright | Springer Science+Business Media New York 1985 |