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Mathematical Sciences Colloquium: A Metric Approach to Representations of Compact Lie Groups

Contributed by: Susan Bourne
Published: Thursday, 28 August 2014 3:00 AM
Department of Mathematical Sciences
Faculty and Graduate Research Colloquium

“A metric approach to representations of compact Lie groups”

Dr. Claudio Gorodski
(University of São Paulo)

Monday, September 8, 2014
10:00-10:50 a.m.
LB 112

Abstract:

Consider a (finite dimensional) orthogonal representation of a compact Lie group on an Euclidean space and the associated orbit space with its canonical metric space structure. In this talk, we would like to address the following question: How much of the representation can be recovered from the metric structure of the orbit space? The prototypical example of such situation is the adjoint representation of a compact connected Lie group on its Lie algebra, whose orbit space is identified with a Coxeter orbifold. Our work generalizes some results about adjoint representations to other representations. (Based on joint work with A. Lytchak (University of Cologne).
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