3 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
An explicit decomposition of higher Deligne-Lsuztig representations
Ben Liu, Sian Nie
In a previous paper, the second named author obtains a decomposition of an elliptic higher Deligne-Lusztig representation into irreducible summands, which are built in the same way…
The cohomology of -adic Deligne-Luszitg schemes of Coxeter type
Alexander B. Ivanov, Sian Nie
We determine the cohomology of the closed Drinfeld stratum of -Deligne--Lusztig schemes of Coxeter type attached to arbitrary inner forms of unramified groups over a local non-a…
Steinberg's cross-section of Newton strata
Sian Nie
In this note, we introduce a natural analogue of Steinberg's cross-section in the loop group of an unramified reductive group . We show this loop Steinberg's cross-secti…
Affine Deligne--Lusztig varieties with finite Coxeter parts
Xuhua He, Sian Nie, Qingchao Yu
In this paper, we study affine Deligne--Lusztig varieties when the finite part of the element in the Iwahori--Weyl group is a partial -Coxeter element. We show that…
Demazure product of the affine Weyl groups
Xuhua He, Sian Nie
The Demazure product gives a natural monoid structure on any Coxeter group. Such structure occurs naturally in many different areas in Lie Theory. This paper studies the Demazure p…