Introduction to the Theory of Lie Groups

• Main Author: Godement, Roger (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Universitext,
• Subjects: Mathematics.; Topological groups.; Lie groups.; Topological Groups, Lie Groups.

This textbook covers the general theory of Lie groups. By first considering the case of linear groups (following von Neumann's method) before proceeding to the general case, the reader is naturally introduced to Lie theory. Written by a master of the subject and influential member of the Bourba...

Table of Contents:

• Topological Groups
• Simply Connected Spaces and Groups
• Analytic Properties of Linear Groups
• Manifolds and Lie Group
• The Lie Algebra of a Lie Group
• The Exponential Map for Lie Groups.