Branching rules for ramified principal series representations of GL(3) over a p-adic field

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dc.creatorCampbell, Peter S.
dc.creatorNevins, Monica
dc.date2007-10-17
dc.date.accessioned2026-07-07T08:36:52Z
dc.date.available2026-07-07T08:36:52Z
dc.descriptionWe decompose the restriction of ramified principal series representations of the $p$-adic group $\mathrm{GL}(3,\mathrm{k})$ to its maximal compact subgroup $K=\mathrm{GL}(3,\mathscr{R})$. 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0710.3263
dc.identifierhttp://arxiv.org/abs/0710.3263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140211
dc.subjectRepresentation Theory
dc.subject20G25; 20G05
dc.titleBranching rules for ramified principal series representations of GL(3) over a p-adic field
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