Classical Lie Algebras at Infinity - Couverture rigide

Penkov, Ivan; Hoyt, Crystal

Couverture rigide

ISBN 10 : 3030896595 ISBN 13 : 9783030896591

Editeur : Springer Nature Switzerland AG, 2022

Synopsis

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.

Détails de l'édition

• Éditeur: Springer Nature Switzerland AG
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 3030896595
• ISBN 13: 9783030896591
• Reliure: Relié
• Nombre de pages: 252
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne