Algebraic Groups; 583G

Instructor: Julia Pevtsova

Place: Mechanical Engineering Building, 251

Time: 11:30-12:20, MWF

Course Description

Texts (group scheme approach)

• Introduction to Affine Group Schemes, W. Waterhouse
• Representations of Algebraic Groups, J. Jantzen
• The book of Involutions, M-A Knus, A. Merkurjev, M. Rost, J-P. Tignol

Books on Linear (or matrix) algebraic groups:

• Linear Algebraic Groups, J. Humphreys
• Linear Algebraic Groups, A. Borel

Grading system: grades will be determined based on homework assignments

Homework

1. Homework 1; due Wednesday, April 4 in class
   Homework 1 Solutions
2. Homework 2 (.pdf, .tex); due Wednesday, April 18 in class
   Homework 2 Solutions
3. Homework 3 (.pdf, .tex); Wednesday, May 2 in class

Homework 3 Solutions (.dvi) (.pdf)

4. Homework 4 (.pdf, .tex); Wednesday, May 16 in class