2010.84: Geometric structure in the tempered dual of SL(N)
2010.84: Kuok Fai Chao (2010) Geometric structure in the tempered dual of SL(N). PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.
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The Aubert-Baum-Plymen conjecture says that there is a simple geometric structure within the representation theory of p-adic groups such as SL(N).
This PhD thesis will focus on SL(2), SL(3) and SL(4). We prove the conjecture for SL(2); part (3) of the conjecture for SL(3); and the principal series case for SL(4, Q_p) with p >2.
The constructions are, for the most part, very explicit.
One case is especially interesting: we reveal a tetrahedron of reducibility in the tempered dual of SL(4, Q_2).
|Item Type:||Thesis (PhD)|
|Uncontrolled Keywords:||Representation theory, special linear group|
|Subjects:||MSC 2000 > 11 Number theory|
MSC 2000 > 22 Topological groups, Lie groups
|Deposited By:||Professor Roger Plymen|
|Deposited On:||25 September 2010|