## Lecture notes in Lie Algebras

Lecture 1

Lecture 2

Universal envelopping algebras

Homeworks 2

Lecture 3

Lecture 4

Weakly closed subsets

Lecture 5

Levi's theorem

Lecture 6

Lecture 7

Homeworks 6

Lecture 8

Homeworks 7

Homeworks 8

Lecture 9

Homeworks 9

Lecture 10

Serre's theorem

An example of a Kac-Moody Lie algebra

The Kostant's form of the envelopping algebra

A beginning of a proof of the Chevalley's theorem