Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596355 | Journal of Pure and Applied Algebra | 2015 | 18 Pages |
Abstract
We determine the decomposition of the restriction of a length-one toral supercuspidal representation of a connected reductive group to the algebraic derived subgroup, in terms of parametrizing data, and show that this restriction has multiplicity one. As an application, we determine the smooth dual of the unit group of integers OD×OD× of a quaternion algebra D over a p-adic field F , for p≠2p≠2, as a consequence of determining the branching rules for the restriction of representations of D×⊃OD×⊃D1D×⊃OD×⊃D1.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Monica Nevins,