Abstract
Abstract
The affine Deligne–Lusztig variety
$X_w(b)$
in the affine flag variety of a reductive group
${\mathbf G}$
depends on two parameters: the
$\sigma $
-conjugacy class
$[b]$
and the element w in the Iwahori–Weyl group
$\tilde {W}$
of
${\mathbf G}$
. In this paper, for any given
$\sigma $
-conjugacy class
$[b]$
, we determine the nonemptiness pattern and the dimension formula of
$X_w(b)$
for most
$w \in \tilde {W}$
.
Publisher
Cambridge University Press (CUP)
Subject
Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Analysis
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