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: 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.
(8685 views)
Book cover: An Introduction to Lie Group IntegratorsAn Introduction to Lie Group Integrators
by - arXiv
The authors give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented ...
(632 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.
(6616 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.
(9385 views)