**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

**Finite Rank Torsion Free Modules Over Dedekind Domains**

by

**E. Lee Lady**-

**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.

(

**8393**views)

**Elements of Group Theory**

by

**F. J. Yndurain**-

**arXiv**

The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.

(

**15042**views)

**Introduction to Groups, Invariants and Particles**

by

**Frank W. K. Firk**-

**Orange Grove Texts Plus**

This is an introduction to group theory, with an emphasis on Lie groups and their application to the study of symmetries of the fundamental constituents of matter. The text was written for seniors and advanced juniors, majoring in the physical sciences.

(

**18017**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.

(

**14056**views)