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arXiv · 1206.0670

Patterns in Branching Rules for Irreducible Representations of SL_2(k), for k a p-adic field

Monica Nevins
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Abstract

Building on prior work, we analyze the decomposition of the restriction of an irreducible representation of SL_2(k), for k a p-adic field of odd residual characteristic, to a maximal compact subgroup K. The pattern of the decomposition varies between principal series and different supercuspidal representations, whereas the K-representations which occur in the "tail end" of these decompositions are precisely those occurring in the decomposition of depth-zero supercuspidal representations. Various applications are considered.

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Monica Nevins. 2012-06-04. Patterns in Branching Rules for Irreducible Representations of SL_2(k), for k a p-adic field. https://arxiv.org/abs/1206.0670

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