**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

**Representation Theory of Compact Groups**

by

**Michael Ruzhansky, Ville Turunen**-

**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.

(

**5933**views)

**Finite Group Representations for the Pure Mathematician**

by

**Peter Webb**-

**University of Minnesota**

The book is intended to be used as a learning tool by people who do not know the subject. It is intended to be appropriate for non-specialists in the area of representation theory, such as those whose primary interest is topology or combinatorics.

(

**5193**views)

**Lectures on Lie Groups and Representations of Locally Compact Groups**

by

**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.

(

**6336**views)

**Lectures on Representations of Complex Semi-Simple Lie Groups**

by

**Thomas J. Enright**-

**Tata Institute of Fundamental Research**

The purpose of these lectures is to describe a factorial correspondence between the theory of admissible representations for a complex semisimple Lie group and the theory of highest weight modules for a semisimple Lie algebra.

(

**4112**views)