English
New Course
Concept
Affine Coxeter Group
Follow
0
Summary
An
Affine Coxeter Group
is an extension of a
Finite Coxeter group
that acts on an
Affine Space
, typically realized as a
Reflection Group
generated by
Reflections across hyperplanes
. These groups are crucial in the
Study of symmetries
and have applications in areas such as algebraic geometry, representation theory, and mathematical physics.
Concepts
Coxeter Group
Reflection Group
Affine Space
Hyperplane
Root System
Weyl Group
Tessellation
Dynkin Diagram
Kac-Moody Algebra
Symmetry
Coxeter Groups
Coxeter Diagram
Relevant Degrees
Algebra 63%
Geometry 38%
Start Learning Journey
Generate Assignment Link
Lessons
Concepts
Suggested Topics
Foundational Courses
Activity
Your Lessons
Your lessons will appear here when you're logged in.
Log In
Sign up