Journal of the Ramanujan Mathematical Society
Volume 31, Issue 4, December 2016 pp. 323–337.
On a conductor formula of Bushnell, Henniart and Kutzko
Authors:
Amiya Kumar Mondal
Author institution:Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400 076, India
Summary:
The explicit conductor formula of Bushnell, Henniart and Kutzko
[BHK98] computes the conductor of a pair of supercuspidal
representations of general linear groups over a non-archimedean
local field in terms of inducing data for these representations.
There are essentially two cases to consider, depending on whether
a supercuspidal type admits a split cover or not. The strategy in
[BHK98] is to deal with the split case first and to reduce
the non-split case to the split case. In this paper, we give a
direct proof of the non-split (self-dual) case of the conductor
formula.
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