3,884 research outputs found
Normalizations of Eisenstein integrals for reductive symmetric spaces
We construct minimal Eisenstein integrals for a reductive symmetric space G/H
as matrix coefficients of the minimal principal series of G. The Eisenstein
integrals thus obtained include those from the \sigma-minimal principal series.
In addition, we obtain related Eisenstein integrals, but with different
normalizations. Specialized to the case of the group, this wider class includes
Harish-Chandra's minimal Eisenstein integrals.Comment: 66 pages. Minor revisions. To be published in Journal of Functional
Analysi
Particle-stabilized oscillating diver: a self-assembled responsive capsule
We report the experimental discovery of a self-assembled capsule, with
density set by interfacial glass beads and an internal bubble, that
automatically performs regular oscillations up and down a vial in response to a
temperature gradient. Similar composites featuring interfacial particles and
multiple internal compartments could be the solution to a variety of
application challenges.Comment: 7 pages, 3 figure
-invariant cusp forms for reductive symmetric spaces of split rank one
Let be a reductive symmetric space of split rank and let be a
maximal compact subgroup of . In a previous article the first two authors
introduced a notion of cusp forms for . We show that the space of cusp
forms coincides with the closure of the -finite generalized matrix
coefficients of discrete series representations if and only if there exist no
-spherical discrete series representations. Moreover, we prove that every
-spherical discrete series representation occurs with multiplicity in
the Plancherel decomposition of .Comment: 12 page
The infinitesimal characters of discrete series for real spherical spaces
Let be the homogeneous space of a real reductive group and a
unimodular real spherical subgroup, and consider the regular representation of
on . It is shown that all representations of the discrete series,
that is, the irreducible subrepresentations of , have infinitesimal
characters which are real and belong to a lattice. Moreover, let be a
maximal compact subgroup of . Then each irreducible representation of
occurs in a finite set of such discrete series representations only. Similar
results are obtained for the twisted discrete series, that is, the discrete
components of the space of square integrable sections of a line bundle, given
by a unitary character on an abelian extension of .Comment: To appear in GAF
Kan Strategisch Human resource Management (veel) Beter? Een spagaat tussen theorie en praktijk
Nederlandse werknemers behoren tot de meest tevreden werknemers van
Europa, als we afgaan op de onderzoeken naar werktevredenheid van
bijvoorbeeld Effectory of European Motivation Index. Scores voor ons land
van rond de 70% worden al jaren opgetekend (2007: 68%, 2008: 69%,
2009: 68%) in brede arbeidssatisfactie surveys.
Alleen Zweden lijkt het substantieel (2009: 75%) beter te doen dan ons
land. Veenhoven toonde reeds eerder aan dat de levenstevredenheid in ons
land eveneens op een hoog niveau ligt (gemiddeld 7.51 op een tienpunt
schaal), waarbij ons land alleen Zweden (7.52) en Zwitserland (7.95) voor
moet laten gaan (Veenhoven, 2002; World Database on Happiness, 2002;
data voor Nederland, 1990) .
Ons land kent een hoge arbeidsproductiviteit als we het bruto binnenlands
product per gewerkt uur vergelijken met andere landen. Alleen Frankrijk,
België en Ierland leken het in het afgelopen decennium beter te doen (CBS,
2006). Wordt gekeken naar het BBP per hoofd van de bevolking, dan legt
ons land het af tegen flink wat andere landen, omdat het aantal gewerkte
uren per werknemer (1354 uur) bij ons lager is dan in de twintig andere
landen waarmee vergeleken wordt. Dit is onder meer het gevolg van een
hoogontwikkelde deeltijdfactor, waarmee ons land zich onderscheidt van
andere landen
On the little Weyl group of a real spherical space
In the present paper we further the study of the compression cone of a real
spherical homogeneous space . In particular we provide a geometric
construction of the little Weyl group of introduced recently by Knop and
Kr\"otz. Our technique is based on a fine analysis of limits of conjugates of
the subalgebra along one-parameter subgroups in the
Grassmannian of subspaces of . The little Weyl group is
obtained as a finite reflection group generated by the reflections in the walls
of the compression cone
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