1.08 Brouwer's fixed point theorem

1.09 Homotopy equivalence

Группы Ли и алгебры Ли: простые корни

Topology and Groups

Linear Algebra

Lie Groups and Lie Algebras

1.01 Числа оборотов и основная теорема алгебры

8.06 Galois correspondence for covering spaces 2. Summary and examples

Lie groups and Lie algebras: Further reading

Lie groups and Lie algebras: The Killing form

Lie groups and Lie algebras: sl(2,C) subalgebras in general, 1

Lie groups and Lie algebras: Root systems

Lie groups and Lie algebras: Decomposing SU(3) representations

Lie groups and Lie algebras: Classification of root systems, 2

Lie groups and Lie algebras: Classification of SU(3) representations

Lie groups and Lie algebras: Decomposing into irreps

Lie groups and Lie algebras: Classification of Dynkin diagrams

Lie groups and Lie algebras: Invariant theory (optional extra video)

Lie groups and Lie algebras: Dual Killing form and semisimplicity

Lie groups and Lie algebras: Classification of root systems, 1

Lie groups and Lie algebras: Root spaces are 1-dimensional