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Introduction to Lie Groups, Adjoint Action and Some Generalizations

Small book cover: Introduction to Lie Groups, Adjoint Action and Some Generalizations

Introduction to Lie Groups, Adjoint Action and Some Generalizations
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Publisher: arXiv
Number of pages: 129

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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.

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