15 citations · 35 across the 7 of their papers we have counts for
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math.RT2011★ 7 cited
Non-orthogonal geometric realizations of Coxeter groups
Xiang Fu
We define in an axiomatic fashion a \emph{Coxeter datum} for an arbitrary Coxeter group . This Coxeter datum will specify a pair of reflection representations of in two vect…
math.RT2011★ 11 cited
Coxeter groups, imaginary cones and dominance
Xiang Fu
Brink and Howlett have introduced a partial ordering, called dominance, on the positive roots in the Tits realization of Coxeter groups (Math. Ann. 296 (1993), 179--190). Recently…
math.RT2011★ 15 cited
The dominance hierarchy in root systems of Coxeter groups
Xiang Fu
If and are roots in the root system with respect to the standard (Tits) geometric realization of a Coxeter group , we say that \emph{dominates} if for all $w\in…