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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