# Lie Algebras and Dynkin Diagrams

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 $sl(2,F)$, $sl(3,F)$, $O(5,F)$ etc and general classical Lie algebras of type $A_l$, $B_l$, $C_l$, $D_l$. 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:
1. Introduction to Lie Algebras and Representation Theory, by James E. Humphreys.