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Abstract
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Let
be
. The unitary dual
was classified by
Vogan in the 1980s. This paper aims to describe the Zhelobenko parameters and the spin-lowest
-types of the scattered
representations of
, which
lie at the heart of
—the
set of all the equivalence classes of irreducible unitary representations of
with
nonvanishing Dirac cohomology. As a consequence, we will verify a couple of conjectures of
Dong for
.
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Keywords
Dirac cohomology, unitary representations, scattered
representations
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Mathematical Subject Classification 2010
Primary: 22E46
Secondary: 17B56
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Milestones
Received: 23 October 2019
Revised: 19 September 2020
Accepted: 22 September 2020
Published: 14 January 2021
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