English
New Course
Concept
Simple Root
Follow
0
Summary
A
Simple Root
is an element of a
Root System
in a
Lie Algebra
that cannot be expressed as a sum of other
Positive roots
. It serves as a
Foundational Building Block
for constructing all other roots in the system through
Linear combinations
with
Non-negative Integer Coefficients
.
Concepts
Root System
Lie Algebra
Positive Root
Linear Combination
Non-negative Integer Coefficients
Cartan Matrix
Dynkin Diagram
Weyl Group
Root Lattice
Symmetry
Dynkin Diagrams
Chevalley Basis
Relevant Degrees
Algebra 100%
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