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

Published online by Cambridge University Press:  20 November 2018

Camelia Karimianpour
Camelia Karimianpour*
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI., USA, e-mail : ckarimia@umich.edu
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Abstract

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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.

Keywords

20G05local fieldcovering grouprepresentationHilbert symbolK-type
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 3 , 01 September 2018 , pp. 553 - 571
Copyright
Copyright © Canadian Mathematical Society 2018

References

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