This article is available for purchase or by subscription. See below.
Abstract
|
|
Consider the space of pairwise
commuting –tuples of elements
in a compact Lie group .
This forms a real algebraic variety, which is generally singular. In this
paper, we construct a desingularization of the generic component of
,
which allows us to derive formulas for its ordinary and equivariant
cohomology in terms of the Lie algebra of a maximal torus in
and
the action of the Weyl group. This is an application of a general theorem concerning
–spaces
for which every element is fixed by a maximal torus.
|
PDF Access Denied
Warning:
We have not been able to recognize your IP address 47.88.87.18
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org or by using our contact form.
Or, you may purchase this single article for USD 29.95:
Keywords
Lie groups, cohomology
|
Mathematical Subject Classification 2000
Primary: 57S99
|
Publication
Received: 21 November 2006
Revised: 13 February 2007
Accepted: 22 March 2007
Published: 30 May 2007
|
|
