Harish-Chandra Bimodules in Complex Rank

In this work we study Harish-Chandra bimodules in the setting of the Deligne categories Rep(Gₜ). We classify all pairs (χ, ψ) of central characters of U(gₜ) for which there exists a non-zero Harish-Chandra bimodule over gₜ, such that the two copies of the center Z(U(gₜ)) act via characters χ and ψ....

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Bibliographic Details
Main Author: Utiralova, Aleksandra
Other Authors: Etingof, Pavel
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/144847