Unipotent representations attached to the principal nilpotent orbit

Mason-Brown, Lucas

doi:10.1090/ert/586

Unipotent representations attached to the principal nilpotent orbit
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by Lucas Mason-Brown

Represent. Theory 25 (2021), 844-860

DOI: https://doi.org/10.1090/ert/586

Published electronically: October 7, 2021

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Abstract:

In this paper, we construct and classify the special unipotent representations of a real reductive group attached to the principal nilpotent orbit. We give formulas for the $\mathbf {K}$-types, associated varieties, and Langlands parameters of all such representations.

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