45 citations · 412 across the 130 of their papers we have counts for
6 papers · 2 filters
Half circles on flag manifolds over a semifield
G. Lusztig
A flag manifold over a semifield K can be partitioned into "half i-circles" which are orbits of a K-action on that flag manifold. Here i is fixed and it corresponds to a simple ref…
Unipotent character sheaves and strata of a reductive group
G. Lusztig
Let H be a connected reductive group over an algebraically closed field. We define a surjective map from the set CS(H) of unipotent character sheaves on H (up to isomorphism) to th…
On bases of certain Grothendieck groups
G. Lusztig
In a previous paper we have defined a second basis of the Grothendieck group of a split reductive group over a finite field. In this paper we extend this to the case of nonsplit sp…
The quantum group and flag manifolds over the semifield Z
G. Lusztig
We give a parametrization of the canonical basis of the modified quantum group corresponding to a root datum in terms of the flag manifold over the semifield Z associated to the re…
Remarks on totally positive flag manifolds
G. Lusztig
We study the intersection of the totally positive part of a split semisimple group over the real numbers with a totally positive parabolic subgroup.
Total positivity and conjugacy classes
Xuhua He, George Lusztig
In this paper, we study the interaction between the totally positive monoid attached to a connected reductive group with a pinning and the conjugacy classes in .…