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Classical Lie Algebras at Infinity (Springer Monographs in Mathematics) by Ivan Penkov;Crystal Hoyt(auth.) is a nonfiction available to read on EtoBox.

What is Classical Lie Algebras at Infinity (Springer Monographs in Mathematics) about?

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 disc

Who reads Classical Lie Algebras at Infinity (Springer Monographs in Mathematics)?

Author

Ivan Penkov;Crystal Hoyt(auth.)

Publisher

Springer, Springer Nature Switzerland AG

Published

2022

Language

EN

ISBN

9783030896591

Category

nonfiction

Subjects

Mathematics, Algebra, Stem