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)

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