An analogue of the BGG resolution for locally analytic principal series

Details An analogue of the BGG resolution for locally analytic principal series An analogue of the BGG resolution for locally analytic principal series

2009-12-23

arxiv.org/abs/0912.4756v2

Journal of Number Theory 131 (2011), pp. 1616-1640

Mathematics

Representation Theory

36 pages; corrected proof of Theorem 26; extended results to locally analytic principal series for G(L); cut unnecessary expos

Scientific paper

10.1016/j.jnt.2011.02.010

Let G be a connected reductive quasisplit algebraic group over a field L which is a finite extension of the p-adic numbers. We construct an exact sequence modelled on (the dual of) the BGG resolution involving locally analytic principal series representations for G(L). This leads to an exact sequence involving spaces of overconvergent p-adic automorphic forms for certain groups compact modulo centre at infinity.

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