Classical Lie Algebras at Infinity

This book PDF is perfect for those who love Mathematics genre, written by Ivan Penkov and published by Springer Nature which was released on 05 January 2022 with total hardcover pages 245. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Classical Lie Algebras at Infinity books below.

Classical Lie Algebras at Infinity
Classical Lie Algebras at Infinity
Author : Ivan Penkov
File Size : 41,7 Mb
Publisher : Springer Nature
Language : English
Release Date : 05 January 2022
ISBN : 9783030896607
Pages : 245 pages
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Classical Lie Algebras at Infinity by Ivan Penkov Book PDF Summary

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.

Classical Lie Algebras at Infinity

Classical Lie Algebras at Infinity by Ivan Penkov,Crystal Hoyt

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

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During the last century, mathematicians and physicists alike have studied extensively the finite dimensional irreducible representations of complex classical Lie algebras. These studies have led to numerous formulas for computing the dimensions, weights, weight multiplicities, and tensor products of the representations. The dependence of these quantities on the rank of

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The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex

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