Coxeter Groups: Generators and Relations

Related lectures (30)

Page 2 of 3

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Explores the theorem that an element sending all simple roots to simple roots is the identity in Coxeter groups.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.