Librería Portfolio

Features

Accessible to advanced students, with minimum prerequisites and useful background material on closed sets in affine space and Lie algebras.
Illustrates algorithms with examples, in many cases giving sample runtimes to demonstrate the practical possibilities offered by the algorithms.
Introduces several areas of active research not usually covered in introductory textbooks, such as arithmetic groups, invariant theory, and nilpotent orbits.
Summary

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms.

Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.



Table of Contents

Closed Sets in Affine Space. Lie Algebras. Linear Algebraic Groups: Basic Constructions. Algebraic groups and their Lie algebras in characteristic zero. Arithmetic groups. Reductive algebraic groups. ?-groups.