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Abstract: We decompose the restriction of ramified principal series representations ofthe $p$-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 oframification of the inducing characters and can be characterized in terms offiltrations of the Iwahori subgroup in $K$. We establish several irreducibilityresults and illustrate the decomposition with some examples.



Autor: Peter S. Campbell, Monica Nevins

Fuente: https://arxiv.org/







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