Lie Algebra

Coadjoint Orbits

2021-01-12 Fei Ye
ℂoadjoint orbits are examples of symplectic manifolds. This post aims at defining coadjoint orbits with a review on Lie group action. Read more →

A Brief Introduction to Cohomology of Lie Algebra

2021-01-07 Fei Ye
𝕃et $G$ be a compact simply connected Lie group and $\mathfrak{g}$ its Lie algebra. In this posts, we will discuss the motivation of Lie algebra cohomology of $\mathfrak{g}$ and its connection with the de Rham cohomology of $G$. Read more →