Journal of Lie Theory 20 (2010), No. 4, 785--806
Copyright Heldermann Verlag 2010
Degenerate Principal Series for the Exceptional p-adic Groups of type F4
Seungil Choi
Dept. of Industrial and Systems Engineering, Kongju National University, Chungnam 314-701, South Korea
sichoi@kongju.ac.kr
Chris Jantzen
Dept. of Mathematics, East Carolina University, Greenville, NC 27858, U.S.A.
jantzenc@ecu.edu
We determine reducibility points of degenerate principal series for exceptional p-adic groups of type F4 via Jacquet module techniques. The number of irreducible subrepresentations and quotients is also determined.
Keywords: p-adic field, exceptional group, induced representation, degenerate principal series, Jacquet module.
MSC: 22E50
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