Vol. 93, No. 1, 1981

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ISSN: 0030-8730
Supercuspidal components of the quaternion Weil representation of SL2(k)

Charles A. Asmuth and Joe Repka

Vol. 93 (1981), No. 1, 35–48
Abstract

Let k be a p-adic field of odd residual characteristic. It is known that all but one summand of the quaternion Weil representation are supercuspidal. These summands are precisely identified in terms of corresponding summands of quadratic extension Weil representations.

Mathematical Subject Classification 2000
Primary: 22E50
Secondary: 10D40, 10D30
Milestones
Received: 7 November 1979
Published: 1 March 1981
Authors
Charles A. Asmuth
Joe Repka