A New Approach to the Orbit Method for Compact Lie Groups

Speaker: 

Dr. Raed Raffoul

Affiliation: 

UNSW

Date: 

Wed, 05/03/2008 - 12:00pm

Venue: 

RC-4082

Abstract: 

We use the Nelson algebra of operants, a construction generalising the symmetric algebra of a vector space which, in the setting of commutative Banach algebras, respects spectral theory in a very special way, to rederive the classical correspondence between unitary irreducible representations of a compact Lie group and orbits of the group on the dual of its Lie algebra.

School Seminar Series: