Higher theta lifts via BGG resolutions
Johannes Droschl
Abstract
We compute higher theta lifts of ladder representations of general linear groups over division algebras over non-archimedean local fields. We achieve this by constructing BGG-type coresolutions and proving that their terms are acyclic for the covariant theta functor. We then compute the resulting complex explicitly, determining the higher theta lifts and the degrees in which they are nonzero.
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