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Infra-nilmanifolds are compact K(G,1)-manifolds with G a torsion-free, finitely generated, virtually nilpotent group. Motivated by previous results of various authors on p-completions of K(G,1)-spaces with G a finite or a nilpotent group, we study the homotopy type of p-completions of...
Let D be the bounded symmetric domain
In this article, we describe explicitly the Plancherel formula of a weighted Bergman space on
under the action of
by using the Howe dual pair
Let K be an algebraic number field, and let GK be the group of K-rational points of a simply connected simple linear algebraic group G defined over K. We construct a new family of irreducible unitary representations of GK as follows. It is well known that GK embeds diagonally as a lattice in GA,...
We describe a procedure for constructing ”polar coordinates” in a certain class of Carnot groups. We show that our construction can be carried out in groups of Heisenberg type and we give explicit formulas for the polar coordinate decomposition in that setting. The construction makes use of...
For compact irreducible sufficiently large 3-manifolds containing 2-sided projective planes, we consider the following Realization Problem: Given a finite subgroup of the outer automorphism group of the fundamental group, is there a finite group of homeomorphisms, which induces this subgroup?
The paper contains a homotopy classification of rational equivalences between classifying spaces of compact connected Lie groups with an application to genus sets of such spaces.
A nodal Enriques surface can have at most 8 nodes. We give an explicit description of Enriques surfaces with 8 nodes, showing that they are quotients of products of elliptic curves by a group isomorphic to
acting freely in codimension 1. We use this result to show that if S is a...
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