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Lie Algebras (Dover Books on Mathematics) by Nathan Jacobson is a nonfiction available to read on EtoBox.

What is Lie Algebras (Dover Books on Mathematics) about?

Lie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a text for graduate courses. Chapter 1 introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Cartan’s criterion and its consequences, and split semi-simple Lie algebras. Chapter 5, on universal enveloping algebras, provides the abstract concepts underlying representation theory. The basic results on representation theory are given in three succeeding chapters: the theorem of Ado-Iwasawa, classification of irreducible modules, and characters of the irreducible modules. In Chapter 9 the automorphisms of semi-simple Lie algebras over an algebraically closed field of characteristic zero are determined. These results are applied in Chapter 10 to the problems of sorting out the simple Lie algebras over an arbitrary

Who reads Lie Algebras (Dover Books on Mathematics)?

Author

Nathan Jacobson

Publisher

Courier Corporation

Published

2003

Language

EN

ISBN

9780486136790

Category

nonfiction

Subjects

Mathematics, Algebra, Stem