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Titlebook: Classical Lie Algebras at Infinity; Ivan Penkov,Crystal Hoyt Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive li

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发表于 2025-3-21 19:10:15 | 显示全部楼层 |阅读模式
书目名称Classical Lie Algebras at Infinity
编辑Ivan Penkov,Crystal Hoyt
视频videohttp://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Titlebook: Classical Lie Algebras at Infinity;  Ivan Penkov,Crystal Hoyt Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive li
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
doihttps://doi.org/10.1007/978-3-030-89660-7
isbn_softcover978-3-030-89662-1
isbn_ebook978-3-030-89660-7Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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1439-7382 e open research area.Provides thought-provoking mixture of m.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 intro
发表于 2025-3-22 05:58:16 | 显示全部楼层
Book 2022graduate 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 t
发表于 2025-3-22 11:35:39 | 显示全部楼层
Ivan Penkov,Crystal HoytAssembles 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
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发表于 2025-3-22 19:29:27 | 显示全部楼层
Splitting Borel Subalgebras of ,, ,, , and Generalized Flagsebras, since Borel subalgebras are responsible for the very existence of highest weight modules. In this chapter we introduce the special class of splitting Borel subalgebras, and show that their stabilizers are generalized flags.
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发表于 2025-3-23 04:12:06 | 显示全部楼层
Weight Modulesheory of weight modules is less developed but is currently coming into shape and will certainly be developed further in the coming years. In this chapter, we give an introduction to weight modules of finite-dimensional Lie algebras, and then we present some basic results on weights modules of root-reductive Lie algebras.
发表于 2025-3-23 07:42:39 | 显示全部楼层
https://doi.org/10.1007/978-3-030-89660-7topics course Lie algebra; Lie algebras; finite-dimensional Lie algebra; Lie superalgebras; root-reducti
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