Reflection groups | Coxeter groups
In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space. The symmetry group of a regular polytope or of a tiling of the Euclidean space by congruent copies of a regular polytope is necessarily a reflection group. Reflection groups also include Weyl groups and crystallographic Coxeter groups. While the orthogonal group is generated by reflections (by the Cartan–Dieudonné theorem), it is a continuous group (indeed, Lie group), not a discrete group, and is generally considered separately. (Wikipedia).
Light and Optics 1_2 Introduction to Reflection
Reflection form plane and spherical mirrors
From playlist Physics - Light and Optics
Light and Optics 1_3 Introduction to Reflection
Reflection from plane and spherical mirrors.
From playlist Physics - Light and Optics
Light and Optics 1_6 Introduction to Reflection
Reflection. Solved problems.
From playlist Physics - Light and Optics
Light and Optics 1_5 Introduction to Reflection
Reflections. Solved Problems.
From playlist Physics - Light and Optics
Bireflections (Geometric Algebra 1.3)
In the third video of the series we need to have a chat about reflections. They are the atoms of transformations: a single reflection is a discrete transformation of space, but the product of two reflections is a continuous transformation. When the two reflections intersect they generate a
From playlist Bivector.net
Light and Optics 1_1 Introduction to Reflection
Reflection and refraction
From playlist Physics - Light and Optics
Light and Optics 3_1 More on Reflection and Refraction
A more in depth look at reflection and refraction.
From playlist Physics - Light and Optics
Light and Optics 3_2 More on Reflection and Refraction
Polarization of reflected light.
From playlist Physics - Light and Optics
Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference
Visual Group Theory, Lecture 2.2: Dihedral groups
Cyclic groups describe the symmetry of objects that exhibit only rotational symmetry, like a pinwheel. Dihedral groups describe the symmetry of objects that exhibit rotational and reflective symmetry, like a regular n-gon. The corresponding dihedral group D_n has 2n elements: half are rota
From playlist Visual Group Theory
Ian Agol, Lecture 2: Finiteness of Arithmetic Hyperbolic Reflection Groups
24th Workshop in Geometric Topology, Calvin College, June 29, 2007
From playlist Ian Agol: 24th Workshop in Geometric Topology
Vic Reiner, Lecture II - 11 February 2015
Vic Reiner (University of Minnesota) - Lecture II http://www.crm.sns.it/course/4036/ Many results in the combinatorics and invariant theory of reflection groups have q-analogues for the finite general linear groups GLn(Fq). These lectures will discuss several examples, and open questions
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Dihedral Groups -- Abstract Algebra 4
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From playlist Abstract Algebra
First video in a series on reflection and refraction.
From playlist Physics - Reflection and Refraction
Tathagata Basak: A monstrous(?) complex hyperbolic orbifold
I will report on progress with Daniel Allcock on the ”Monstrous Proposal”, namely the conjecture: Complex hyperbolic 13-space, modulo a particular discrete group, and with orbifold structure changed in a simple way, has fundamental group equal to (MxM)(semidirect)2, where M is the Monster
From playlist Topology
Ethnomathematics Lecture 5: Color Symmetries
Beloit College, Math 103: Color symmetry patterns.
From playlist Beloit College: Ethnomathematics | CosmoLearning.org Mathematics
Group theory 13: Dihedral groups
This lecture is part of an online mathematics course on group theory. It covers some basic properties of dihedral groups.
From playlist Group theory
Abstract Algebra | The dihedral group
We present the group of symmetries of a regular n-gon, that is the dihedral group D_n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Light and Optics 3_5 More on Reflection and Refraction
Reflection problems solved.
From playlist Physics - Light and Optics
Geometry and arithmetic of sphere packings - Alex Kontorovich
Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics