Geodesic
Branching Rules for n-fold Covering Groups of SL2 over a Non-Archimedean Local Field
Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 553-571

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DOI

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.
DOI : 10.4153/CMB-2017-073-8
Mots-clés : 20G05, local field, covering group, representation, Hilbert symbol, K-type 
Karimianpour, Camelia. Branching Rules for n-fold Covering Groups of SL2 over a Non-Archimedean Local Field. Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 553-571. doi: 10.4153/CMB-2017-073-8
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     author = {Karimianpour, Camelia},
     title = {Branching {Rules} for n-fold {Covering} {Groups} of {SL2} over a {Non-Archimedean} {Local} {Field}},
     journal = {Canadian mathematical bulletin},
     pages = {553--571},
     year = {2018},
     volume = {61},
     number = {3},
     doi = {10.4153/CMB-2017-073-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-073-8/}
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