**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

**Algebraic Groups, Lie Groups, and their Arithmetic Subgroups**

by

**J. S. Milne**

This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.

(

**12765**views)

**Combinatorial Group Theory**

by

**Charles F. Miller III**-

**University of Melbourne**

Lecture notes for the subject Combinatorial Group Theory at the University of Melbourne. Contents: About groups; Free groups and presentations; Construction of new groups; Properties, embeddings and examples; Subgroup Theory; Decision Problems.

(

**15537**views)

**Symmetry Groups and Their Applications**

by

**Willard Miller**-

**Academic Press**

A beginning graduate level book on applied group theory. Only those aspects of group theory are treated which are useful in the physical sciences, but the mathematical apparatus underlying the applications is presented with a high degree of rigor.

(

**16171**views)

**Group Theory: Birdtracks, Lie's, and Exceptional Groups**

by

**Predrag Cvitanovic**-

**Princeton University Press**

A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.

(

**16027**views)