书目名称 | Classical Lie Algebras at Infinity |
编辑 | Ivan Penkov,Crystal Hoyt |
视频video | http://file.papertrans.cn/228/227082/227082.mp4 |
概述 | Assembles the available tools and methods in a new, coherent theory, building from foundational material.Invites the reader to explore a wide open research area.Provides thought-provoking mixture of m |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge. The mathematical background required varies from chapter to chapter, but a standard course on Lie algebras and their representations, along with some knowledge of homological algebra, is necessary. Basic algebraic geometry and sheaf cohomology are needed for Chapter 10. Exercises of various levels of difficulty are interlaced throughout the text to add depth to topical comprehension..The unifying theme of this book is the structure and representation theory of infinite-dimensional locally reductive Lie algebras and superalgebras. Chapters 1-6 are foundational; each of the last 4 chapters presents a self-contained study of a specialized topic within the larger field. Lie superalgebras and flag supermanifolds are dis |
出版日期 | Book 2022 |
关键词 | topics course Lie algebra; Lie algebras; finite-dimensional Lie algebra; Lie superalgebras; root-reducti |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-89660-7 |
isbn_softcover | 978-3-030-89662-1 |
isbn_ebook | 978-3-030-89660-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |