English
New Course
Concept
Chevalley Basis
Follow
0
Summary
A
Chevalley Basis
is a specific type of basis for a
Semisimple Lie Algebra
over a field, which allows for the
Integral Structure
of the Lie algebra to be studied. This basis is particularly useful in the
Representation Theory
of
Lie Groups
and
Lie Algebras
, as it facilitates the construction of
Chevalley Groups
and the study of their
Properties over various fields
, including
Finite Fields
.
Concepts
Lie Algebra
Semisimple Lie Algebra
Root System
Cartan Subalgebra
Simple Root
Chevalley Group
Representation Theory
Integral Structure
Field Theory
Finite Fields
Relevant Degrees
Algebra 78%
Geometry 22%
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