**Lectures on Algebraic Groups**

by Alexander Kleshchev

**Publisher**: University of Oregon 2005**Number of pages**: 166

**Description**:

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.

Download or read it online for free here:

**Download link**

(760KB, PDF)

## Similar books

**Notes on Categories and Groupoids**

by

**P. J. Higgins**-

**Van Nostrand Reinhold**

A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.

(

**10623**views)

**An Introduction to the Theory of Groups of Finite Order**

by

**Harold Hilton**-

**Oxford Clarendon Press**

This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra. I have tried to lighten for him the initial difficulties.

(

**2523**views)

**Groups as Graphs**

by

**W. B. V. Kandasamy, F. Smarandache**-

**CuArt**

In this book, for the first time, the authors represented every finite group in the form of a graph. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.

(

**7951**views)

**Theory of Groups of Finite Order**

by

**William Burnside**-

**Cambridge University Press**

After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.

(

**6314**views)