The Course

Textbook

Introduction to Lie Algebras, by K. Erdmann and M. Wildon.

Grades

Honor Code

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(Very) Tentative Schedule

Week 1 (January 12 - January 16). Introduction

Week 2 (January 21 - January 23). Rings and Fields

Week 3 (January 26 - January 30). Vector spaces and inner products

Week 4 (February 2 - February 6). Reflection groups

Week 5 (February 9 - February 13). Root systems

Week 6 (February 16 - February 20). Weyl groups

Week 7 (February 23 - February 27). Cartan matrices and Dynkin diagrams

Week 8 (March 2 - March 6). Classification of Dynkin diagrams

Week 9 (March 9 - March 13). Matrix groups and Weyl groups

Week 10 (March 16 - March 20). Rings and algebras

Week -- (March 23 - March 27). Spring break

Week 11 (March 30 - April 3). Lie algebras

Week 12 (April 6 - April 10). Lie algebras

Week 13 (April 13 - April 17). Triangular decomposition

Week 14 (April 20 - April 24). Exponentiation and logarithms

Week 15 (April 27 - May 1). Classification?

Finals Week (May 2 - May 7). 7:30-10:00pm, Tuesday, May 5.