Logo

Introduction to Representation Theory

Introduction to Representation Theory
by

Publisher: MIT
Number of pages: 99

Description:
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory.

Download or read it online for free here:
Download link
(590KB, PDF)

Similar books

Book cover: Representation Theory of Compact GroupsRepresentation Theory of Compact Groups
by - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
(11213 views)
Book cover: Lectures on Lie Groups and Representations of Locally Compact GroupsLectures on Lie Groups and Representations of Locally Compact Groups
by - Tata Institute of Fundamental Research
We consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. We have rigidly adhered to the analytic approach in establishing the relations between Lie groups and Lie algebras.
(11074 views)
Book cover: Representations of Reductive p-adic GroupsRepresentations of Reductive p-adic Groups
by - University of Toronto
Contents: Valuations and local fields; Smooth representations of locally compact totally disconnected groups; Haar measure, convolution, and characters of admissible representations; Induced representations - general properties; etc.
(8666 views)
Book cover: An Elementary Introduction to Groups and RepresentationsAn Elementary Introduction to Groups and Representations
by - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(19195 views)