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: 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.
(11335 views)
Book cover: Introduction to Representations of Real Semisimple Lie GroupsIntroduction to Representations of Real Semisimple Lie Groups
by - arXiv
These are lecture notes for a one semester introductory course I gave at Indiana University. The goal was to make this exposition as clear and elementary as possible. A particular emphasis is given on examples involving SU(1,1).
(7618 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.
(8898 views)
Book cover: Symplectic Reflection AlgebrasSymplectic Reflection Algebras
by - arXiv
The emphasis throughout is on examples to illustrate the many different facets of symplectic reflection algebras. Exercises are included at the end of each lecture in order for the student to get a better feel for these algebras.
(8376 views)