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Lie groups and algebras with applications to physics, geometry, and mechanics

Author: David H Sattinger; O L Weaver
Publisher: New York : Springer-Verlag, ©1986.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 61.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This is an introductory text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. The material is presented in a way that is at once intuitive, geometric, applications oriented, and, most of the time, mathematically rigorous. It is intended for students and researchers without an extensive background in physics, algebra, or geometry. In addition to an exposition of  Read more...
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Additional Physical Format: Online version:
Sattinger, David H.
Lie groups and algebras with applications to physics, geometry, and mechanics.
New York : Springer-Verlag, ©1986
(OCoLC)756447754
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David H Sattinger; O L Weaver
ISBN: 0387962409 9780387962405 3540962409 9783540962403
OCLC Number: 12947664
Description: ix, 215 pages : illustrations ; 25 cm
Contents: A Lie Groups and Algebras.- 1 Lie Groups.- 2 Lie Algebras.- 3 Lie Groups and Algebras: Matrix Approach.- 4 Applications to Physics and Vice Versa.- B Differential Geometry and Lie Groups.- 5 Calculus on Manifolds.- 6 Symmetry Groups of Differential Equations.- 7 Invariant Forms on Lie Groups.- 8 Lie Groups and Algebras: Differential Geometric Approach.- C Algebraic Theory.- 9 General Structure of Lie Algebras.- 10 Structure of Semi-Simple Lie Algebras.- 11 Real Forms.- D Representation Theory.- 12 Representation Theory.- 13 Spinor Representations.- E Applications.- 14 Applications.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 61.
Responsibility: D.H. Sattinger, O.L. Weaver.
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Abstract:

This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. Gilmore and Wybourne address themselves to the  Read more...

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