The Order Dimension of Bruhat Order on Infinite Coxeter Groups
Copyright policy ) Nathan Reading; Debra J. Waugh;
The Order Dimension of Bruhat Order on Infinite Coxeter Groups
We give a quadratic lower bound and a cubic upper bound on the order dimension of the Bruhat (or strong) ordering of the affine Coxeter group ${\tilde{A}}_n$. We also demonstrate that the order dimension of the Bruhat order is infinite for a large class of Coxeter groups.
- University of Michigan–Flint United States
- Alfred University United States
Combinatorics of partially ordered sets, affine Coxeter groups, Reflection and Coxeter groups (group-theoretic aspects), Bruhat ordering, order dimensions
Combinatorics of partially ordered sets, affine Coxeter groups, Reflection and Coxeter groups (group-theoretic aspects), Bruhat ordering, order dimensions
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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