An irreducible decomposition of the Weil representation restricted to open compact subgroups
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Takahashi, Yuta
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214105031