WorksMathematics
\SL_3 dual pairs
Abstract · v1
We study the exceptional theta correspondence for dual pairs of the form \SL_3\times G inside -adic groups of type , . We establish Howe duality for lifts of all Whittaker-generic unitarizable representations of \SL_3. Our dual pair is in a see-saw relationship with a dual pair of the form such that is a rank-two symmetric space. Using the theta correspondence for \SL_3 \times G, we prove a multiplicity-one result for -invariant functionals on representations of .
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