Lectures on Some Aspects of p-Adic Analysis
by F. Bruhat
Publisher: Tata Institute of Fundamental Research 1963
Number of pages: 147
Description:
These lectures cover the classical theory of valuated fields, some recent 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.
Download or read it online for free here:
Download link
(670KB, PDF)
Similar books
Lectures on Lie Groups and Representations of Locally Compact Groupsby F. Bruhat - 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.
(11019 views)
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.
(8620 views)
An Elementary Introduction to Groups and Representationsby Brian C. Hall - 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.
(19110 views)
Introduction to Representation Theoryby Pavel Etingof, at al. - MIT
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.
(13397 views)