Introduction to Representation Theory
by Pavel Etingof, at al.
Publisher: MIT 2009
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
Representations of Reductive p-adic Groupsby Fiona Murnaghan - 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.
(5141 views)
Symplectic Reflection Algebrasby Gwyn Bellamy - 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.
(4220 views)
Varieties of Latticesby Peter Jipsen, Henry Rose - Springer
Presents the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The text includes preliminaries that make the material accessible to anyone with basic knowledge of universal algebra.
(8035 views)
Lectures on Some Aspects of p-Adic Analysisby F. Bruhat - Tata Institute of Fundamental Research
The text covers the classical theory of valuated fields, results about representations of classical groups over a locally compact valuated field, and Dwork's proof of the rationality of the zeta function of an algebraic variety over a finite field.
(4722 views)