Vecteurs distributions H-invariants de representations induites, pour un espace symetrique reductif p-adique G/H

Details Vecteurs distributions H-invariants de representations induites, pour un espace symetrique reductif p-adique G/H Vecteurs distributions H-invariants de representations induites, pour un espace symetrique reductif p-adique G/H

2004-12-21

arxiv.org/abs/math/0412435v2

Mathematics

Representation Theory

Latex,42 pages. Augmented introduction, changes in section 2.7, added references, corrected typos

Scientific paper

Let G be the group of F-points of a reductive group defined over F, $\sigma$ a rational involution of this group defined over F and H the group of fixed points of $\sigma$ . We built rational families of H-fixed vectors in the dual of generalized principal series, using smooth homology of groups. Results of A.G.Helminck,S.P.Wang and A.G.Helminck,G.F.Helminck on the structure of $\mathbb F$-varieties are also essential.

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