Introduction to the Theory of Lie Groups
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2017 ed. Series: Universitext Author: Godement, Roger Publisher: Springer ISBN: 9783319543734 Cover: PAPERBACK Date: 2017年05月 DESCRIPTION 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 Bourbaki group, the French edition of this textbook has been used by several generations of students. This translation preserves the distinctive style and lively exposition of the original. Requiring only basics of topology and algebra, this book offers an engaging introduction to Lie groups for graduate students and a valuable resource for researchers. TABLE OF CONTENTS Topological Groups.- Simply Connected Spaces and Groups.- Analytic Properties ofLinear Groups.- Manifolds and Lie Group.- The Lie Algebra of a Lie Group.- TheExponential Map for Lie Groups.
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