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On the composition series of principal series representations of a three-fold covering group of SL(2, K)1)

Published online by Cambridge University Press:  22 January 2016

Haluk Aritürk
Haluk Aritürk*
Affiliation:
Bogazici University, P.K. 2, Bebek Istanbul, Turkey
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 177 - 196
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

Footnotes

1)

This work was partially supported by the Scientific and Technical Research Council of Turkey.

References

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