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- W3092894473 abstract "In his article Unitary Representations and Complex Analysis, David Vogan gives a characterization of the continuous invariant Hermitian forms defined on the compactly supported sheaf cohomology groups of certain homogeneous analytic sheaves defined on open orbits in generalized flag manifolds. In the last section of the manuscript, Vogan raises a question about the possibility of a topological Frobenius reciprocity for these representations. In this article we give a specific version of the topological reciprocity in the regular, antidominant case and use it to study the existence of continuous invariant hermitian forms on the sheaf cohomology. In particular, we obtain a natural relationship between invariant forms on the sheaf cohomology and invariant forms on the geometric fiber." @default.
- W3092894473 created "2020-10-22" @default.
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- W3092894473 date "2020-10-18" @default.
- W3092894473 modified "2023-09-27" @default.
- W3092894473 title "Topological Frobenius reciprocity and invariant Hermitian forms" @default.
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