Conjugation in groups of Lie type

Lecturer: Dan Roozemond

Cohen, Murray and Taylor developed an algorithm for conversion between the Steinberg presentation of a group of Lie type and its highest weight representations. In this talk I will present a modification of this algorithm, and show how we may use it to conjugate semisimple elements into the standard torus. This then may be used to, for example, compute so-called weighted Dynkin diagrams.

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