11 citations · 13 across the 7 of their papers we have counts for
4 papers · 1 filter
Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes
Jeffrey Adams, Xuhua He, Sian Nie
Let be a reductive group over an algebraically closed field and let be its Weyl group. In a series of papers, Lusztig introduced a map from the set of conjugacy class…
From conjugacy classes in the Weyl group to semisimple conjugacy classes
Jeffrey Adams, Xuhua He, Sian Nie
Suppose is a connected complex semisimple group and is its Weyl group. The lifting of an element of to is semisimple. This induces a well-defined map from the set o…
A geometric interpretation of Newton strata
Xuhua He, Sian Nie
The Newton strata of a reductive -adic group are introduced in \cite{Newton} and play some role in the representation theory of -adic groups. In this paper, we give a geometr…
Cocenters and representations of pro- Hecke algebras
Xuhua He, Sian Nie
In this paper, we study the relation between the cocenter and the representations of an affine pro- Hecke algebra. As a consequence, we obtain a new criterion on the supersingul…