**Speaker**: Teja G.

**Dates**: 13th & 20th February 2018 (Tuesday)

**Time**: 09:15 pm-10:15 pm

**Venue**: Lecture Hall I, Department of Mathematics

**Abstract**: I will start with an introduction to Lie algebras and present some examples like , , etc and general classical Lie algebras of type , , , . Then I will discuss about root systems, bases for root systems, irreducible root systems and briefly mention some results on these. Finally, I will discuss about Dynkin diagrams and construction of root systems/bases for each type, with brief comments on the semisimplicity and simplicity of the classical Lie algebras.

**Prerequisites**: Elementary linear algebra

**Area**: Lie Algebras

**References**:

- Introduction to Lie Algebras and Representation Theory, by James E. Humphreys.