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  3. Algebra

Classical Lie Algebras at Infinity

Af: Crystal Hoyt, Ivan Penkov Engelsk Paperback

Classical Lie Algebras at Infinity

Af: Crystal Hoyt, Ivan Penkov Engelsk Paperback
Tjek vores konkurrenters priser

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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 239
ISBN-13: 9783030896621
Indbinding: Paperback
Udgave:
ISBN-10: 3030896625
Kategori: Algebra
Udg. Dato: 7 jan 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 7 jan 2023
Forfatter(e): Crystal Hoyt, Ivan Penkov
Forfatter(e) Crystal Hoyt, Ivan Penkov

Kategori Algebra

ISBN-13 9783030896621

Sprog Engelsk

Indbinding Paperback

Sider 239

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 7 jan 2023

Oplagsdato 7 jan 2023

Forlag Springer Nature Switzerland AG

Kategori sammenhænge