On the composition series of principal series representations of a three-fold covering group of SL(2, K)-Reference-Cited by-同舟云学术

On the composition series of principal series representations of a three-fold covering group of SL(2, K)

Published:1980-02 Issue: Volume:77 Page:177-196
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Aritürk Haluk

Abstract

In this paper, we study the composition series of certain principal series representations of the three-fold metaplectic covering group of SL(2, K), where K is a non-archimedean local field. These representations are parametrized by unramified characters μ(x) = |x|s of K× and characters ω of the group of third roots of unity.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Casselman W. , Some general results in the theory of admissable representations of P-adic reductive groups, to appear.

2. Jacquet H. and Langlands R. P. , Automorphic forms on GL(2), Lecture Notes in Mathematics, No. 114, Springer-Verlag, 1970.

3. Langlands R. P. , On the classification of irreducible representations of real reductive groups, Mimeographed notes, Institute for Advanced Study, 1973.

4. Godement R. , Notes on Jacquet-Langlands Theory, Institute for Advanced Study, Princeton, 1970.

5. Kubota T. , Automorphic functions and the reciprocity law in a number field, Kyoto University, 1969.

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