Multiplicity-free Representations and Visible Actions on Complex Manifolds,
International Conference on Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory (on the Occasion of Professor Roger Howe's 60th Birthday), Singapore, 9-11 January 2006.

In this talk, I plan to present a simple principle that produces various multiplicity-free theorems for both finite and infinite dimensional representations (possibly, with continuous spectrum).

The main idea is to find under what assumption on group actions on holomorphic vector bundles, the multiplicity-free property propagates from fibers to sections.

[ programme ]

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