### MATH 5020: Topics in Algebra

**Description:** Advanced topics chosen from group theory, ring theory, number theory, Lie theory, combinatorics, commutative algebra, algebraic geometry, homological algebra, and representation theory. With change of content, this course may be repeated to a maximum of twelve credits.

**Prerequisites:** MATH 5211.

**Credits:** 3

### MATH 5020 - Section 1: Coxeter Groups

**Description:** Coxeter groups are abstract groups that can be given a formal presentation in terms of reflections. Finite examples include the symmetry groups of regular polytopes and the Weyl groups of simple Lie algebras; infinite ones include groups corresponding to regular tesselations of the Euclidean or hyperbolic planes, and the Weyl groups of Kac-Moody algebras. The theory of Coxeter groups is a fundamental and very active area of research, with a beautiful interplay of algebraic, combinatorial, and geometric ideas.

**Credits:** 3

**Sections: **Spring 2016 on Storrs Campus

PSCourseID | Course | Sec | Comp | Time | Room | Instructor |
---|---|---|---|---|---|---|

06363 | 5020 | 001 | Lecture | TuTh 12:30:00 PM-01:45:00 PM | MSB315 | Roby, Thomas |