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: Lectures on Stratification of Complex Analytic SetsLectures on Stratification of Complex Analytic Sets
by - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).
(8678 views)
Book cover: On Riemann's Theory of Algebraic Functions and their IntegralsOn Riemann's Theory of Algebraic Functions and their Integrals
by - Macmillan and Bowes
In his scholarly supplement to Riemann's complex mathematical theory, rather than offer proofs in support of the theorem, Klein chose to offer this exposition and annotation, first published in 1893, in an effort to broaden and deepen understanding.
(11691 views)
Book cover: Elements of the Theory of Functions of a Complex VariableElements of the Theory of Functions of a Complex Variable
by - Philadelphia G.E. Fisher
Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; General properties of functions; Infinite and infinitesimal values of functions; etc.
(8014 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.
(7303 views)