English
New Course
Concept
Linear Algebraic Group
Follow
0
Summary
A
Linear Algebraic Group
is a group that is also an
Algebraic Variety
, meaning it is defined by
Polynomial Equations
and the
Group Operations
of multiplication and inversion are given by
Regular Functions
. These groups play a crucial role in the study of
Symmetries in algebraic geometry
and are instrumental in understanding the
Structure of solutions
to
Polynomial Equations
.
Concepts
Algebraic Variety
Polynomial Equations
Regular Functions
Group Theory
Algebraic Geometry
Lie Groups
Representation Theory
Affine Algebraic Group
Reductive Group
Borel Subgroup
Torus
Root System
Borel Subgroups
Algebraic Group Classification
Algebraic Groups
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