Logo

Roots of a Compact Lie Group

Small book cover: Roots of a Compact Lie Group

Roots of a Compact Lie Group
by

Publisher: arXiv
Number of pages: 39

Description:
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions. Some familiarity with matrix groups and with maximal tori is assumed.

Home page url

Download or read it online for free here:
Download link
(430KB, PDF)

Similar books

Book cover: Lie groups and Lie algebrasLie groups and Lie algebras
by - UC Berkeley
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.
(12893 views)
Book cover: Continuous Groups Of TransformationsContinuous Groups Of Transformations
by - Princeton University Press
'Continuous Groups Of Transformations' sets forth the general theory of Lie and his contemporaries and the results of recent investigations with the aid of the methods of the tensor calculus and concepts of the new differential geometry.
(7347 views)
Book cover: Introduction to Lie Groups and Lie AlgebrasIntroduction to Lie Groups and Lie Algebras
by - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.
(15264 views)
Book cover: Notes on Differential Geometry and Lie GroupsNotes on Differential Geometry and Lie Groups
by - University of Pennsylvania
Contents: Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; etc.
(13299 views)