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: Thin Groups and Superstrong ApproximationThin Groups and Superstrong Approximation
by - Cambridge University Press
This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
(2250 views)
Book cover: Notes on Categories and GroupoidsNotes on Categories and Groupoids
by - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
(10209 views)
Book cover: Finite Group SchemesFinite Group Schemes
by - ETH Zurich
The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.
(5687 views)
Book cover: Smarandache SemigroupsSmarandache Semigroups
by - American Research Press
The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.
(5894 views)