Lie groups and Lie algebra
Sophus Lie Wilhelm Killing Elie Cartan Hermann Weyl
Introduction
[
Prove that
] O(n) is a Lie group [SO(2)
SO(3)
]
Basic results on Lie groups [
Hyperbolic planes
]
Lie group with bi-invariant metric
[
Prove that
]Lie algebra isomorphism to left-inavriant fields
Proper and isometric actions
Adjiont and conjugate actions
Singular Tiemannian foliations with sections
Applications in physics
Lie groups and DE
Iwasawa
decomposition theorem
Galois dream
[
E8 Lie group
]
參考書目
Introduction to Lie groups and Lie algebras