Beschreibung:
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 in the author's inimitable style
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.