Branching Rules for n-fold Covering Groups of SL2 over a Non-Archimedean Local Field

Karimianpour, Camelia

Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 553-571

Résumé

Let $G$ be the $n$ -fold covering group of the special linear group of degree two over a non-Archimedean local field. We determine the decomposition into irreducibles of the restriction of the principal series representations of $G$ to a maximal compact subgroup. Moreover, we analyse those features that distinguish this decomposition from the linear case.

Détail

DOI : 10.4153/CMB-2017-073-8

Mots-clés : 20G05, local field, covering group, representation, Hilbert symbol, K-type

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