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: Group TheoryGroup Theory
by
Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.
(8304 views)
Book cover: An Introduction to Group Theory: Applications to Mathematical Music TheoryAn Introduction to Group Theory: Applications to Mathematical Music Theory
by - BookBoon
In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.
(5853 views)
Book cover: Introduction to Arithmetic GroupsIntroduction to Arithmetic Groups
by - arXiv
This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).
(6058 views)
Book cover: Elements of Group TheoryElements of Group Theory
by - arXiv
The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.
(10672 views)