45 citations · 412 across the 130 of their papers we have counts for
5 papers · 1 filter
Positive structures in Lie theory
G. Lusztig
We discuss the non-negative monoid attached to a Cartan matrix following my 1994 paper.
Reducing mod p complex representations of finite reductive groups
G. Lusztig
We state a conjecture on the reduction modulo the defining characteristic of a unipotent representation of a finite reductive group.
A new basis for the representation ring of a Weyl group, II
G. Lusztig
In a previous paper I have defined a new basis for the representation ring of a Weyl group. In this paper we show that the new basis is related to the standard basis by an upper tr…
Z/m-graded Lie algebras and perverse sheaves, IV
George Lusztig, Zhiwei Yun
Let G be a reductive group over C. Assume that the Lie algebra g of G has a given grading (g_j) indexed by a cyclic group Z/m such that g_0 contains a Cartan subalgebra of g. The s…
A new basis for the representation ring of a Weyl group
G. Lusztig
Let W be a Weyl group. We define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the oth…