书目名称 | Generalized Vertex Algebras and Relative Vertex Operators | 编辑 | Chongying Dong,James Lepowsky | 视频video | | 丛书名称 | Progress in Mathematics | 图书封面 |  | 描述 | In the past few years, vertex operator algebra theory has been growing both in intrinsic interest and in the scope of its interconnections with areas of mathematics and physics. The structure and representation theory of vertex operator algebras is deeply related to such subjects as monstrous moonshine, conformal field theory and braid group theory. Vertex operator algebras are the mathematical counterpart of chiral algebras in conformal field theory. In the Introduction which follows, we sketch some of the main themes in the historical development and mathematical and physical motivations of these ideas, and some of the current issues. Given a vertex operator algebra, it is important to consider not only its modules (representations) but also intertwining operators among the mod ules. Matrix coefficients of compositions of these operators, corresponding to certain kinds of correlation functions in conformal field theory, lead natu rally to braid group representations. In the specialbut important case when these braid group representations are one-dimensional, one can combine the modules and intertwining operators with the algebra to form a structure satisfying axioms fairly clos | 出版日期 | Book 1993 | 关键词 | Algebraic structure; Cohomology; Lattice; Representation theory; algebra; cls; homology; ring theory | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-0353-7 | isbn_softcover | 978-1-4612-6721-8 | isbn_ebook | 978-1-4612-0353-7Series ISSN 0743-1643 Series E-ISSN 2296-505X | issn_series | 0743-1643 | copyright | Springer Science+Business Media New York 1993 |
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