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

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On restriction to the maximal compact subgroup $\mathrm{GL}(3,\mathscr{R})$, an unramified principal series representation of the $p$-adic group $\mathrm{GL}(3,F)$ decomposes into a direct sum of finite-dimensional irreducibles each appearing with finite multiplicity. We describe a coarser decomposition into components which, although reducible in general, capture the equivalences between the irreducible constituents.
24 pages

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Representation Theory, 20G25; 20G05

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http://salesiana.dossiersoluciones.com/handle/123456789/140210

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.3261
 http://arxiv.org/abs/0710.3261

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arXiv