Speaker

:

Dr. S. Vishwanath

Subject Area

:

Mathematics

Venue

:

Lecture Hall - III, Dept of Mathematics

Time

:

4.00 pm

Date  

:

March 19,2008 (Wednesday)

Title

:

Embedding hyperbolic Dynkin diagrams into E_{10}

Classical Dynkin diagrams are used in the classification of finite dimensional simple Lie algebras. I will describe other types of Dynkin diagrams -- the so called affine and hyperbolic types -- and show how the hyperbolic diagrams can all be realized as subdiagrams (in a certain precise sense) of a special diagram denoted E_{10}. This implies corresponding statements about certain Lie algebras and reflection groups.