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From the 1 of 3.5k papers with an AI index.
29.3k citations
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Showing 2007 · math.COShow all
3 papers · 2 filters
math.CO2007★ 2 cited
The sorting order on a Coxeter group
Drew Armstrong
Let be an arbitrary Coxeter system. For each word in the generators we define a partial order--called the {\sf -sorting order}--on the set of group elements $W_ω\sub…
math.CO2007
Geometry and complexity of O'Hara's algorithm
Matjaz Konvalinka, Igor Pak
In this paper we analyze O'Hara's partition bijection. We present three type of results. First, we show that O'Hara's bijection can be viewed geometrically as a certain scissor con…
math.CO2007★ 4 cited
Alternating subgroups of Coxeter groups
Francesco Brenti, Victor Reiner, Yuval Roichman
We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.