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Unrefined minimal K-types forp-adic groups
via their restriction to compact open subgroups was begun by Mautner, Shalika and Tanaka for groups of type AI. In contrast to real reductive groups where the representation theory of a maximal
Volumes of S-arithmetic quotients of semi-simple groups
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Pseudo-reductive Groups
Preface to the second edition Introduction Terminology, conventions, and notation Part I. Constructions, Examples, and Structure Theory: 1. Overview of pseudo-reductivity 2. Root groups and root
Strong rigidity ofQ-rank 1 lattices
A discrete subgroup F of a locally compact topological group G is said to be a lattice in G if the homogeneous space G/F carries a finite G-invariant measure. A lattice F in G is said to be uniform
Jacquet functors and unrefined minimal K-types
The notion of an unrefined minimal K-type is extended to an arbitrary reductive group over a non archimedean local field. This allows one to define the depth of a representation. The relationship
Fake projective planes
A fake projective plane is a complex surface different from but has the same Betti numbers as the complex projective plane. It is a complex hyperbolic space form and has the smallest Euler Poincare
Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
Supported by the National Science Foundation during 1986–1988 at the Mathematical Sciences Research Institute, Berkeley, and at the Institute for Advanced Study, Princeton.
Weakly commensurable arithmetic groups and isospectral locally symmetric spaces
We introduce the notion of weak commensurabilty of arithmetic subgroups and relate it to the length equivalence and isospectrality of locally symmetric spaces. We prove many strong consequences of
Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
We give an elementary proof of a theorem of Bruhat, Tits and Rousseau, and also a theorem of Tits.