Basic Notions, Ch III: Group Actions

Related lectures (31)

Page 3 of 4

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

Introduces group theory basics and group action concepts with associated subsets.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Covers the topic of nonlinear equations and the fixed point method.

Covers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.

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

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

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

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

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