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What is Unitary Representations and Cohomology about?

1. The lecture discusses extending the Borel-Weil theorem, which realizes unitary representations of compact Lie groups as spaces of holomorphic sections of line bundles, to other Lie groups. 2. A key difficulty is that the relevant homogeneous spaces are noncompact, so Dolbeault cohomology groups are infinite-dimensional and not related to Hilbert spaces. 3. Some successes constructing unitary representations include Atiyah and Schmid

Author

J Luis Mls

Language

EN