45 citations · 412 across the 130 of their papers we have counts for
134 papers
Total positivity in coordinate algebras
G. Lusztig
We define the totally positive part of the coordinate algebra associated to a Cartan datum of simply laced type. We show its relation to the canonical basis of the corresponding pl…
Symplectic F_2-vector spaces and Dyck words
G. Lusztig
Let be an -vector space with a given nondegenerate symplectic form and a circular basis. We define a partition of into subsets each of which has cardinal equal to a pr…
A study of intersections of Schubert varieties
M. Dyer, G. Lusztig
We study the local and global intersection cohomology of the intersection of two Schubert varieties in a flag manifold. In this version some new references are added.
Families of isotropic subspaces of a symplectic Z/2-vector space
G. Lusztig
For a symplectic vector space V over Z/2 with a given circular basis we give a non-inductive definition of a family of isotropic subspaces of V with remarkable properties.
On bases of certain Grothendieck groups, II
G. Lusztig
In previous papers the author introduced a new basis of the Grpthendieck group of unipotent representations of a finite Chevalley group. In type D the definition of this basis was…
Rigid strata in a reductive group
G. Lusztig
We define (in two, equivalent ways) the notion of a rigid stratum of a reductive group. This generalizes the notion of rigid unipotent class.