Subject: new Hopf listings
From: Mark Hovey <mhovey@wesleyan.edu>
Date: 03 Feb 2007 10:50:55 -0500

There are 4 new papers this time, from Bartels-Lueck-Reich,
Davis-Dula-Mahowald, and Vespa (2).  In adddition, there are 3 updates
of papers recently posted to Hopf; I will just list these rather than
including the abstracts again.  They are

Benson-Chebolu-Christensen-Minac/GH-pgroup-new
Chebolu-Christensen-Minac/GH-Stmod
Kuhn/primitives

                  Mark Hovey

New papers appearing on hopf between 1/1/07 and 2/3/07

1.
http://hopf.math.purdue.edu/cgi-bin/generate?/Bartels-Lueck-Reich/blr-hyperbolic

Title: 
The K-theoretic Farrell-Jones Conjecture for hyperbolic groups

Authors: 
Arthur Bartels, Wolfgang Lueck, Holger Reich

Abstract:
We prove the K-theoretic Farrell-Jones Conjecture for hyperbolic groups
with (twisted) coefficients in any associative ring with unit.

2.
http://hopf.math.purdue.edu/cgi-bin/generate?/DavisD-Dula-Mahowald/imms2

Immersions of RP^{2^e-1}

Donald M. Davis, Giora Dula, and Mark Mahowald

Abstract:
We prove that RP^{2^e-1} can be immersed in R^{2^{e+1}-e-8}
provided e>6.  If e>13, this is 2 better than previously known
immersions.  Our method is primarily an induction on geometric
dimension, incorporating also sections obtained from the
Radon-Hurwitz theorem.

3.
http://hopf.math.purdue.edu/cgi-bin/generate?/Vespa/Fquad

Generic representations of orthogonal groups: the functor category Fquad

Christine Vespa

In this paper, we define the functor category Fquad associated to vector
spaces over the field with two elements equipped with a quadratic
form. We show the existence of a fully-faithful, exact functor from F
to Fquad, which preserves simple objects, where F is the category of
functors from the category of finite dimensional vector spaces over the
field with two elements to the category of all vector spaces. We define
a subcategory Fquad, which is equivalent to the product of the
categories of modules over the orthogonal groups; the inclusion is a
fully-faithful functor which preserves simple objects.

4.
http://hopf.math.purdue.edu/cgi-bin/generate?/Vespa/mixtes

Generic representations of orthogonal groups: the mixed functors

Christine Vespa

In previous work, we defined the category of functors Fquad, associated
to vector spaces over the field with two elements equipped with a
nondegenerate quadratic form.  In this paper, we define a special family
of objects in the category Fquad, named the mixed functors. We give the
complete decompositions of two elements of this family that give rise to
two new infinite families of simple objects in the category Fquad.


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