Home Newsletter
News Books
Welcome to FreeScience.info Language/Lingua

Books 3054
· Book News
· Most clicked
· Least clicked

Search for a Book
Add a new Book

Lectures on Linear Algebra over Skew Field

Author: Aleks Kleyn
Url: http://babbage.sissa.it/abs/math/0701238
Format: Ps, Pdf
Year: 2007
Category: Linear Algebra
Pages: 70
Clicks: 2855

In this book i treat linear algebra over skew field. A system of linear equations over a skew field has properties similar to properties of a system of linear equations over a field. However, noncommutativity of a product creates a new picture. Matrices allow two products linked by transpose. Biring is algebra which defines on the set two correlated structures of the ring. As in the commutative case, solutions of a system of linear equations build up right or left vector space depending on type of system. We study vector spaces together with the system of linear equations because their properties have a close relationship. As in a commutative case, the group of automorphisms of a vector space has a single transitive representation on a frame manifold. This gives us an opportunity to introduce passive and active representations. Studying a vector space over a skew field uncovers new details in the relationship between passive and active transformations, makes this picture clearer.(english and russian version).

Similar Books
Linear Algebra
Introduction to Linear Bialgebra
The Matrix Cookbook
A First Course in Linear Algebra
Elementary Linear Algebra
Lectures on Matrices
Elements of Abstract and Linear Algebra
Advanced Linear Algebra lecture notes
Linear Algebra, Infinite Dimensions, and Maple
Linear Algebra
Course of linear algebra and multidimensional geometry
Linear Algebra Done Wrong
Linear Algebra and Smarandache Linear Algebra
Matrix Analysis,
Linear Algebra - Theorems and Applications
Linear Algebra for Applications
Algebre Lineaire
Linear Algebra

Home |  Authors | About | Contact Us |  Email 
 Copyright © 2002-2013 FreeScience.info. 

Best viewed with Mozilla 1.X 1024x768
free scientific books