Ordinary representations of G ( Q p ) and fundamental algebraic representations

Ordinary representations of G(Qp) and fundamental algebraic representations

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...

ALGEBRAIC MONODROMY GROUPS OF G-VALUED l-ADIC REPRESENTATIONS OF Gal(Q/Q)

A connected reductive algebraic group G is said to be an l-adic algebraic monodromy group for ΓQ if there is a continuous homomorphism Gal(Q/Q)→ G(Ql) with Zariski-dense image. In this paper, we give a classification of connected l-adic algebraic monodromy groups for Gal(Q/Q), in particular producing the first such examples for SLn,Sp2n,Spinn and E sc 6 . To do this, we start with a mod-l repre...

Two-wavelet constants for square integrable representations of G/H

In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations fo...

UNITARY REPRESENTATIONS OF U(p, q)

Vogan has conjectured that a family of cohomologically induced modules exhaust the unitary dual of U(p, q) for certain kinds of integral infinitesimal characters. In this expository note (which is substantially a transcript of a talk given at the 1997 Seattle conference on the representation theory of real and p-adic groups) we recall the definition of the relevant modules, describe an approach...