Non-Fiction Books:

Lie Groups

New Research

Format

Hardback

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Lie Groups
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Description

This book is dedicated to recent and important research on Lie groups. A Lie Group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure. They are named after the nineteenth century Norwegian mathematician Sophus Lie, who laid the foundations of the theory of continuous transformation groups. Lie groups represent the best developed theory of continuous symmetry of mathematical objects and structures, which makes them indispensable tools for many parts of contemporary mathematics, as well as for modern theoretical physics. They provide a natural framework for analysing the continuous symmetries of differential equations (Differential Galois theory), in much the same way as permutation groups are used in Galois theory for analysing the discrete symmetries of algebraic equations. An extension of Galois theory to the case of continuous symmetry groups was one of Lie's principal motivations.
Release date Australia
March 25th, 2010
Contributor
Edited by Altos B. Canterra
Country of Publication
United States
Illustrations
tables & charts
Imprint
Nova Science Publishers Inc
Pages
612
ISBN-13
9781606923894
Product ID
2974104

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