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Introduction to Lie Groups, Adjoint Action and Some Generalizations by Marcos M. Alexandrino, Renato G. Bettiol

Introduction to Lie Groups, Adjoint Action and Some Generalizations

Introduction to Lie Groups, Adjoint Action and Some Generalizations by Marcos M. Alexandrino, Renato G. Bettiol
Introduction to Lie Groups, Adjoint Action and Some Generalizations by Marcos M. Alexandrino, Renato G. Bettiol
Publisher: arXiv 2010
Number of pages: 129
The main purpose of these lecture notes is to provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming mostly at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups, exploring its connection with isoparametric submanifolds and polar actions.
Mathematics Geometry & Topology Differential Geometry Lie Groups
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