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2010.106: Geometric structure in the tempered dual of the p-adic group SL(4)

2010.106: Kuok Fai Chao and Roger Plymen (2010) Geometric structure in the tempered dual of the p-adic group SL(4).

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Abstract

We exhibit a definite geometric structure in the tempered dual of the p-adic group SL(4).

Especially interesting is the case of SL(4,Q2), when we reveal a tetrahedron of reducibility in the tempered dual. This conforms to a recent geometric conjecture.

The L-packets in this article all conform to the L-packet conjecture in http://eprints.ma.man.ac.uk/1504.

Item Type:MIMS Preprint
Uncontrolled Keywords:Special linear group, p-adic group, representations, extended quotient
Subjects:MSC 2000 > 22 Topological groups, Lie groups
MIMS number:2010.106
Deposited By:Professor Roger Plymen
Deposited On:20 April 2011

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