Unipotent Representations, Theta Correspondences, and Quantum Induction
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Description
In this paper, we construct unipotent representations for the real orthagonal groups and the metaplectic groups in the sense of Vogan. Our construction is based on quantum induction which involves the compositions of even number of theta correspondences. In particular, our results imply that there are irreducible unitary representations attached to each special nilpotent orbit.
Link to Catalog
LOC Call Number
QA3 .A57 NO.1496
ISBN
9781470470302
Publication Date
2024
Publisher
American Mathematical Society
City
Providence, Rhode Island
Recommended Citation
He, Hongyu, "Unipotent Representations, Theta Correspondences, and Quantum Induction" (2024).