We construct types in the sense of Bushnell and Kutzko for principal series representations
of split connected reductive p-adic groups (with mild restrictions on the residual …

Let F be a p-adic field. We shall assume that the characteristic of F is different from two.
Denote by R the direct sum of the Grothendieck groups of the categories of all smooth …

The classification of irreducible square integrable representations of classical $ p $-adic
groups is completed in this paper, under a natural local assumption. Further, this …

Jacquet modules are very useful in the study of parabolically induced representations of
reductive groups over a p-adic field F (we shall assume char F= 2 in this paper). It is very …

This volume grew out of a series of preprints which were written and circulated-tween 1993
and 1994. Around the same time, related work was done independently by Harder [40] and …

We prove Langlands functoriality for the generic spectrum of general spin groups (both odd
and even). Contrary to other recent instances of functoriality, our resulting automorphic …

Jacquet modules of a reducible parabolically induced representation of a reductive p-adic
group reduce in a way consistent with the transitivity of Jacquet modules. This fact can be …

We generalize the torsion vanishing results of Caraiani-Scholze and Koshikawa. Our results
apply to the cohomology of general Shimura varieties $(\mathbf {G}, X) $ of PEL type $ A …

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Motives with Galois Group of type G$_2$: an Exceptional Theta-Correspondence Page 1
Compositio Mathematica 114: 153–217, 1998. 153 c©1998 Kluwer Academic Publishers …