Subalgebras of the rank two semisimple Lie algebras

Venue:  Seminar Room “-1” – Department of Mathematics
Time: 15:00

• Speaker: Andrew Douglas (The City University of New York)

Abstract: I will describe the classification of the subalgebras of the rank 2 semisimple Lie algebras. Their semisimple subalgebras are well-known, and in a recent series of papers, Repka and I completed the classification of the subalgebras of the classical rank 2 semisimple Lie algebras. Finally, Mayanskiy finished the classification of the subalgebras of the remaining rank 2 semisimple Lie algebra, the exceptional Lie algebra G2.  I will identify subalgebras of the classification in terms of a uniform classification scheme of Lie algebras of low dimension. The classification is up to inner automorphism, and the ground field is the complex numbers.

Contact person: Willem Adriaan De Graaf