Computational Algebra Seminar: Murray -- Lie Theory in Magma

Speaker: Scott Murray
Title: Lie Theory in Magma
Time & Place: 3-4pm, Thursday 17 Dec, Carslaw 535

Abstract:
In this talk I will survey current facilities for Lie theory computation
in Magma.  I will discuss both practical implementations and algorithmic
aspects.  This talk will cover:
 *  Root systems
 *  Coxeter groups and reflection groups
 *  Lie algebras
 *  Classical groups
 *  Groups of Lie type (reductive algebraic groups)
 *  Highest weight representations

I will also discuss possible future directions, including implementation
of more general algebraic groups.