Symmetries of Euclidean Space R^n
Channel: Andrew Misseldine
Date: 07/12/2020

In this video, we discuss the symmetries of the Euclidean space R^n. We view the symmetries of R^n as a vector space, an inner product space, a metric space, and topological space and discuss how the symmetry group varies based upon those perspectives.

This is lecture 36 (part 2/2) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1VPWA5fSbM6otgTPiHTVgqb0DH98499UQ/view

This lecture is based upon Section 12.2 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.