In this program
- Lie groups: definitions, examples (GL(n), SO(n), SU(n))
- Lie algebras: bracket, homomorphisms, and ideals
- Exponential map
- Baker–Campbell–Hausdorff formula (introduction)
- Adjoint representation and Killing form
- Semisimple and simple Lie algebras
- Cartan subalgebras and root systems
- Weyl group and root reflections
- See all →
Modeling and computation
Apply lie groups: definitions, examples (gl(n), so(n), su(n)) in engi...
Lie groups & Lie algebras · Theoretical / proof-based
Learning objective
Apply lie groups: definitions, examples (gl(n), so(n), su(n)) in engineering contexts
Study materials
Study guide, practice problems, review, and practice test for this learning objective.
- Exam StrategyComing soon
- Common MistakesComing soon
- Study GuideComing soon
- Practice ProblemsComing soon
- Word ProblemsComing soon
- Mixed PracticeComing soon
- Multi-Step ProblemsComing soon
- Multi-Standard ProblemsComing soon
- Multi-Step Multi-StandardComing soon
- ReviewComing soon
- Practice TestComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this standard — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard