ABSTRACT

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.

chapter 1|26 pages

Closed Sets in Affine Space

chapter 2|68 pages

Lie Algebras

chapter 4|40 pages

Algebraic Groups and Their Lie Algebras

chapter 5|62 pages

Semisimple Algebraic Groups

chapter 6|25 pages

Generators of Arithmetic Groups

chapter 7|30 pages

Invariants of Algebraic Groups

chapter 8|32 pages

Nilpotent Orbits