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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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