Lectures related to Group Actions: Differential of Orbit Map

Showcases examples of group actions on vector spaces and topological spaces.

Covers changing bases in vector spaces using matrices and the concept of dimension.

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Covers Lie Algebra, focusing on vector space and multiplication law.

Covers linear independence, bases, and coordinate systems with examples and theorems.