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Gelfand pair for compact groups

Speaker: Arnab Mitra, Technion- Israeli Institute of Technology

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Abstract: Let G be a compact topological group and H be a closed subgroup. Say that (G,H) is a Gelfand pair if for every irreducible representation V of G, the space of H-invariant linear forms on V has dimension at most one. We will see some basic properties and examples of Gelfand pairs, and if time permits, some applications.

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