Multiplicity-free Representations and Visible Actions on Complex Manifolds,
Analysis Seminar, University of Aarhus, Denmark, 18 September 2006.

In this talk, I plan to present a simple principle that produces various multiplicity-free theorems of representations for both finite and infinite dimensional representations, for both discrete and continuous spectra, and for both classical and exceptional cases.

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.

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© Toshiyuki Kobayashi