Logo

An Elementary Introduction to Groups and Representations

Small book cover: An Elementary Introduction to Groups and Representations

An Elementary Introduction to Groups and Representations
by

Publisher: arXiv
Number of pages: 128

Description:
These notes give an elementary introduction to Lie groups, Lie algebras, and their representations. Designed to be accessible to graduate students in mathematics or physics, they have a minimum of prerequisites. Topics include definitions and examples of Lie groups and Lie algebras, the relationship between Lie groups and Lie algebras via the exponential mapping, the basics of representations theory, the Baker-Campbell-Hausdorff formula, a detailed study of the representations of SU(3), and a brief survey of the representation theory of general semisimple groups.

Home page url

Download or read it online for free here:
Download link
(950KB, PDF)

Similar books

Book cover: Congruence Lattices of Finite AlgebrasCongruence Lattices of Finite Algebras
by - arXiv
We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...
(5160 views)
Book cover: Why are Braids Orderable?Why are Braids Orderable?
by
This book is an account of several quite different approaches to Artin's braid groups, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry.
(8071 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.
(10583 views)
Book cover: Geometry and Group TheoryGeometry and Group Theory
by - Texas A&M University
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.
(13416 views)