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Higher theta lifts via BGG resolutions
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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BibTeX
@misc{droschl2026higher,
title = {{Higher theta lifts via BGG resolutions}},
author = {Johannes Droschl},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07090},
eprint = {2611.07090},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07090},
}
RIS
TY - UNPB
TI - Higher theta lifts via BGG resolutions
AU - Johannes Droschl
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07090
UR - https://arxiv.org/abs/2611.07090
AB - 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.
ER -