PreprintarXiv licencearXiv
An irreducible decomposition of the Weil representation restricted to open compact subgroups
Abstract
For a p-adic field of any residual characteristic, we determine irreducible decompositions of the Weil representation restricted to the maximal open compact subgroups and the Iwahori subgroup by using the Schrödinger model. In particular, these decompositions show that the restrictions are multiplicity free.
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BibTeX
@misc{takahashi2026irreducible,
title = {{An irreducible decomposition of the Weil representation restricted to open compact subgroups}},
author = {Yuta Takahashi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25045},
eprint = {2609.25045},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25045},
}
RIS
TY - UNPB
TI - An irreducible decomposition of the Weil representation restricted to open compact subgroups
AU - Yuta Takahashi
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.25045
UR - https://arxiv.org/abs/2609.25045
AB - For a p-adic field of any residual characteristic, we determine irreducible decompositions of the Weil representation restricted to the maximal open compact subgroups and the Iwahori subgroup by using the Schrödinger model. In particular, these decompositions show that the restrictions are multiplicity free.
ER -