Lie Algebras and Dynkin Diagrams

Speaker: Teja G.

Date: 13th 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.
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