Every Arthur packet of U(p,q) contains at most one unitary lowest weight representation, with explicit conditions for existence and a formula for the lowest K-type.
On anti-tempered local Arthur packets and a lemma of Arthur
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abstract
In this paper, following Arthur's ideas, we rework the process of constructing the anti-tempered local Arthur packets for quasi-split classical groups and their pure inner forms. In particular, we present explicit examples illustrating certain gap in a consequential lemma of Arthur and provide a uniform modification, based on the work of Moeglin, Waldspurger, and Xu.
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On $A$-parameters containing unitary lowest weight representations of $\mathrm{U}(p, q)$
Every Arthur packet of U(p,q) contains at most one unitary lowest weight representation, with explicit conditions for existence and a formula for the lowest K-type.