45 citations · 412 across the 130 of their papers we have counts for
7 papers · 2 filters
Non-unipotent representations and categorical centres
G. Lusztig
Let G be a connected reductive group defined over a finite field F_q. We give a parametrization of the irreducible representations of G(F_q) in terms of (twisted) categorical centr…
On the generalized Springer correspondence
G. Lusztig
We close a gap in the explicit determination of the generalized Springer correspondence for a connected reductive group in good characteristic.
-graded Lie algebras and perverse sheaves, III: graded double affine Hecke algebra
George Lusztig, Zhiwei Yun
In this paper we construct representations of certain graded double affine Hecke algebras (DAHA) with possibly unequal parameters from geometry. More precisely, starting with a sim…
-graded Lie algebras and perverse sheaves, II
George Lusztig, Zhiwei Yun
We consider a fixed block for the equivariant perverse sheaves with nilpotent support in the -graded ccomponent of a semisimple cyclically graded Lie algebra. We give a combinat…
The canonical basis of the quantum adjoint representation
G. Lusztig
We identify the canonical basis of the quantum adjoint representation of a quantized enveloping algebra with a basis that we defined before the theory of canonical bases was availa…
Special representations of Weyl groups: a positivity property
G. Lusztig
We show that the irreducible representation of the asymptotic Hecke algebra corresponding to a special representation of a Weyl group admits a basis with strong positivity properti…