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.
, , 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.
Prime Time Seminars 