17 citations · 56 across the 15 of their papers we have counts for
15 papers
The based ring of the lowest two-sided cell of an affine Weyl group, III
Nanhua Xi
We show that Lusztig's homomorphism from an affine Hecke algebra to the direct summand of its asymptotic Hecke algebra corresponding to the lowest two-sided cell is related to the…
Some Infinite Dimensional Representations of Reductive Groups with Frobenius Maps
Nanhua Xi
In this paper we construct certain irreducible infinite dimensional representations of algebraic groups with Frobenius maps. In particular, a few classical results of Steinberg and…
Module Structure on Invariant Jacobians
Nanhua Xi
In this paper we show that a conjecture of Stephen Yau on highest weights of invariant Jacobians is true for arbitrary connected semisimple algebraic groups.
Iwahori's Question for Affine Hecke Algebras
Toshiaki Shoji, Nanhua Xi
In this paper we show that an affine Hecke algebra over complex numbers field with parameter is not isomorphic to the group algebra over complex numbers field of the…
Lusztig's -function for Coxeter groups with complete graphs
Nanhua Xi
We show that Lusztig's -function of a Coxeter group is bounded if the Coxeter group has a complete graph (i.e. any two vertices are joined) and the cardinalities of finite parab…
Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group
Nanhua Xi
We give some discussions to the relations between canonical left cells and the lowest two-sided cell of an affine Weyl group. In particular, we use the relations to construct irred…