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: 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.
(11461 views)
Book cover: Introductory Treatise On Lie's Theory Of Finite Continuous Transformation GroupsIntroductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups
by - Oxford Clarendon Press
In this treatise an attempt is made to give, in as elementary a form as possible, the main outlines of Lie's theory of Continuous Groups. Even those familiar with the theory may find something new in the form in which the theory is here presented.
(6206 views)
Book cover: Algebraic Groups, Lie Groups, and their Arithmetic SubgroupsAlgebraic Groups, Lie Groups, and their Arithmetic Subgroups
by
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(11390 views)
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.
(10995 views)