For a certain class of locally profinite groups, we show that an irreducible smooth discrete series representation is necessarily supercuspidal and, more strongly, can be obtained by induction from a linear character of a suitable open and compact modulo center subgroup. If F is a non-Archimedean local field, then our class of groups includes the groups of F -points of unipotent algebraic group...

We recall here the basic definitions needed to construct simple types, with no proofs given of the many claims that we make. For a much more detailed account, see [1] and the many other sources cited therein. Note that most of the statements made here could be proven without much difficulty for the reader who has the time and inclination. Any statements requiring a much more elaborate proof are...

OBJECTIVE To evaluate whether advertising for food influences choices made by children, the strength of these influences, and whether they might be easily undone by parental influences. STUDY DESIGN Children between 3 and 8 years of age (n=75) were randomized to watch a series of programs with embedded commercials. Some children watched a commercial for a relatively healthy food item, the oth...

The idea that symmetry in facial traits is associated with attractiveness because it reliably indicates good physiological health, particularly to potential sexual partners, has generated an extensive literature on the evolution of human mate choice. However, large-scale tests of this hypothesis using direct or longitudinal assessments of physiological health are lacking. Here, we investigate r...

Let F be a nonarchimedean local field of residual characteristic p≠2. G (connected) reductive group that splits over tamely ramified extension F. We show construction analogous to Yu’s complex supercuspidal representations yields smooth, irreducible, cuspidal an arbitrary algebraically closed R different from p. Moreover, we prove this provides all R-representations if p does not divide the ord...

We define epsilon factors for irreducible representations of finite general linear groups using Macdonald's correspondence. These satisfy multiplicativity, and are expressible as products Gauss sums. The tensor product related to the Rankin-Selberg gamma factors, by which we prove that can be written exterior square relate Jacquet-Shalika Langlands-Shahidi level zero supercuspidal representatio...