10 citations · 10 across the 5 of their papers we have counts for
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The character sheaves on the group compactification
Xuhua He
We give a definition of character sheaves on the group compactification which is equivalent to Lusztig's definition in \cite{L3}. We also prove some properties of the character she…
The -stable pieces of the wonderful compactification
Xuhua He
Let be a connected, simple algebraic group over an algebraically closed field. There is a partition of the wonderful compactification of into finite many -stab…
Unipotent variety in the group compactification
Xuhua He
The unipotent variety of a reductive algebraic group plays an important role in the representation theory. In this paper, we will consider the closure $\bar{\Cal U}$ of the uni…
Total positivity in the De Concini-Procesi compactification
Xuhua He
We study the nonnegative part \bar{G_{>0}} of the De Concini-Procesi compactification of a reductive algebraic group G, as defined by Lusztig. Using positivity properties of the ca…