Logo

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
by

Publisher: arXiv
Number of pages: 129

Description:
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.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: An Elementary Introduction to Groups and RepresentationsAn Elementary Introduction to Groups and Representations
by - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(13628 views)
Book cover: Group Theory: Birdtracks, Lie's, and Exceptional GroupsGroup Theory: Birdtracks, Lie's, and Exceptional Groups
by - Princeton University Press
A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.
(10591 views)
Book cover: Notes on Classical GroupsNotes on Classical Groups
by - Queen Mary and Westfield College
Notes for an M.Sc. course: Fields and vector spaces; Linear and projective groups; Polarities and forms; Symplectic groups; Unitary groups; Orthogonal groups; Klein correspondence and triality; A short bibliography on classical groups.
(7979 views)
Book cover: Lie Groups, Physics, and GeometryLie Groups, Physics, and Geometry
by - Drexel University
The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. It includes a chapter dedicated to the applications of Lie group theory to solving differential equations.
(7455 views)