Classical Lie Algebras at Infinity

Name: Classical Lie Algebras at Infinity
Brand: Springer Nature Switzerland AG
SKU: 9783030896591
Price: 348.05 RON
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Autor: Ivan Penkov, Crystal Hoyt

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Editura: Springer Nature Switzerland AG

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348.05 lei

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

Informații despre carte

Autor

Ivan Penkov, Crystal Hoyt

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2022

Pagini

239

EAN

9783030896591

ISBN

3030896595

Enbook ID

38323303

Editura

Springer Nature Switzerland AG

Greutate

553

Dimensiuni

155 x 235 x 20

Descriere completă

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.

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