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.
(8940 views)
Book cover: Lie Groups in PhysicsLie Groups in Physics
by - Utrecht University
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.
(11415 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.
(8202 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.
(3377 views)