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Lie Algebras

By: Jacobson, NathanMaterial type: Text

TextSeries: Dover books on advanced mathematicsPublication details: New York : Dover, 1979Description: ix, 331 pagesISBN: 9780486638324; 0486638324 Subject(s): Lie algebrasDDC classification: 512.55

Contents:

Basic concepts -- Solvable and nilpotent lie algebras -- Cartan's criterion and its consequences -- Split semi-simple lie algebras -- Universal enveloping algebras -- The theorem of Ado-Iwasawa -- Classification of irreducible modules -- Characters of the irreducible modules -- Automorphisms -- Simple lie algebras over an arbitrary field.

Summary: 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. This book is a definitive treatment and can be used as a textbook for graduate courses.

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Lending Books	Main Library Stacks	Reference	512.55 JAC (Browse shelf(Opens below))	Available		007933

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Previous	512.5 TUC A unified introduction to linear algebra : models, methods, and theory	512.5 VEC Vector bundles on algebraic varieties : papers presented at the Bombay Colloquium 1984	512.52 CHO The Elements of Complex Analysis	512.55 JAC Lie Algebras	512.55 MOS Lectures on Discrete Subgroups of Lie Groups	512.57 CAR The theory of spinors	512.7 NIV An introduction to the theory of numbers /	Next

Includes Bibliography & Index

Basic concepts --
Solvable and nilpotent lie algebras --
Cartan's criterion and its consequences --
Split semi-simple lie algebras --
Universal enveloping algebras --
The theorem of Ado-Iwasawa --
Classification of irreducible modules --
Characters of the irreducible modules --
Automorphisms --
Simple lie algebras over an arbitrary field.

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. This book is a definitive treatment and can be used as a textbook for graduate courses.

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