Article contents
Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field
Published online by Cambridge University Press: 20 November 2018
Abstract
We decompose the restriction of ramified principal series representations of the $p$-adic group $\text{GL}\left( 3,\,\text{k} \right)$ to its maximal compact subgroup $K\,=\,\text{GL}\left( 3,\,\mathcal{R} \right)$. Its decomposition is dependent on the degree of ramification of the inducing characters and can be characterized in terms of filtrations of the Iwahori subgroup in $K$. We establish several irreducibility results and illustrate the decomposition with some examples.
Keywords
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2010
References
- 4
- Cited by