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Real forms of complex embeddings of maximal reductive Lie algebras in semisimple Lie algebras

Presented by: 
Willem de Graaf
Date: 
Wednesday 29th January 2020 - 11:30 to 12:20
Venue: 
INI Seminar Room 1
Abstract: 
Since the work of Dynkin the reductive subalgebras of a semisimple complex Lie algebra are divided in two groups: those that are contained in a proper
regular subalgebra, and those that are not (these are called S-subalgebras). I will describe computational methods to obtain real forms of the complex
embeddings of reductive Lie algebras in semisimple subalgebras. There is one algorithm for the regular subalgebras and one for the S-subalgebras.
Recently we have used these to obtain the maximal reductive subalgebras of the simple real Lie algebras of ranks up to 8. This is joint work with Heiko Dietrich,
Paolo Faccin and Alessio Marrani.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons