Bernstein-Zelevinsky duality for locally analytic principal series representations
Representation Theory
2025-01-14 v2 Number Theory
Abstract
We consider certain dual of the Kohlhaase-Schraen resolutions for locally analytic principal series representations of -adic Lie groups in the case of integral weights. The dual complexes calculate the expected Bernstein-Zelevinsky dual of the locally analytic representations and lead to the Grothendieck-Serre duality of coherent sheaves on patched eigenvarieties.
Cite
@article{arxiv.2501.04850,
title = {Bernstein-Zelevinsky duality for locally analytic principal series representations},
author = {Matthias Strauch and Zhixiang Wu},
journal= {arXiv preprint arXiv:2501.04850},
year = {2025}
}
Comments
46 pages, comments welcome!