Logo

Lectures on Riemann Matrices

Small book cover: Lectures on Riemann Matrices

Lectures on Riemann Matrices
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: B000OK34HM
Number of pages: 101

Description:
In this course of lectures, we shall be concerned with a systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; Division algebras over Q; Positive involutions of the second kind in division algebras; Existence of R-matrices with given commutator-algebra; Modular groups associated with Riemann matrices.

Download or read it online for free here:
Download link
(600KB, PDF)

Similar books

Book cover: Dynamics in One Complex VariableDynamics in One Complex Variable
by - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(10300 views)
Book cover: Methods for Finding Zeros in PolynomialsMethods for Finding Zeros in Polynomials
by - BookBoon
Polynomials are the first class of functions that the student meets. Therefore, one may think that they are easy to handle. They are not in general! Topics as e.g. finding roots in a polynomial and the winding number are illustrated.
(5521 views)
Book cover: Lectures on Holomorphic Functions of Several Complex VariablesLectures on Holomorphic Functions of Several Complex Variables
by - Jagiellonian University
The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.
(2802 views)
Book cover: Lectures on The Theory of Functions of Several Complex VariablesLectures on The Theory of Functions of Several Complex Variables
by - Tata Institute of Fundamental Research
Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; etc.
(5974 views)