Lectures on Algebraic Groups

Small book cover: Lectures on Algebraic Groups

Lectures on Algebraic Groups

Publisher: University of Oregon
Number of pages: 166

Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; Characteristic 0 theory; Semisimple Lie algebras; The Chevalley construction; Borel subgroups and flag varieties; The classification of reductive algebraic groups.

Home page url

Download or read it online for free here:
Download link
(760KB, PDF)

Similar books

Book cover: Group Characters, Symmetric Functions, and the Hecke AlgebraGroup Characters, Symmetric Functions, and the Hecke Algebra
by - American Mathematical Society
The book covers a set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas. Directed at graduate students and mathematicians.
Book cover: Finite Rank Torsion Free Modules Over Dedekind DomainsFinite Rank Torsion Free Modules Over Dedekind Domains
by - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
Book cover: Groupoids and Smarandache GroupoidsGroupoids and Smarandache Groupoids
by - American Research Press
This book by Dr. W. B. Vasantha aims to give a systematic development of the basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache groupoids exhibits simultaneously the properties of a semigroup and a groupoid.
Book cover: Group theory for Maths, Physics and ChemistryGroup theory for Maths, Physics and Chemistry
Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.