Coxeter groups: reflections, rotations

Related lectures (31)

Page 2 of 4

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Explains root system classification and fundamental regions in Coxeter groups.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Explores the composition of plane reflections and isometries in space, showcasing how reflections can lead to rotations and different isometries.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.