45 citations · 412 across the 130 of their papers we have counts for
131 papers · 1 filter
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…
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.
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…