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Classical Lie Algebras at Infinity

Name: Classical Lie Algebras at Infinity
Brand: Springer Nature Switzerland AG
SKU: 38323303
Price: 71.88 EUR
Availability: InStock
Author: Ivan Penkov
ISBN: 9783030896591

Ivan Penkov

Crystal Hoyt

Língua

Inglês

Livro Livro de capa dura

Código Libristo: 38323303

Editoras Springer Nature Switzerland AG, janeiro 2022

Originating from graduate topics courses given by the first author, this book functions as a unique... Descrição completa

Código Libristo: 38323303

174 b

71.88 €

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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 discussed in Chapters 3, 7, and 10, and may be skipped by the reader.