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arXiv · 2011.05078

Subword complexes and 2-truncated cubes

Mikhail Gorsky
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Abstract

For a Coxeter element $c$ of a finite Coxeter group, we consider a family of subword complexes parameterized by reduced expressions of the longest element. This family generalizes $c-$cluster complexes. We describe vertices of these complexes in terms of roots of the corresponding root system. We prove that dual polytopes of all such complexes are combinatorial 2-truncated cubes.

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Mikhail Gorsky. 2020-11-10. Subword complexes and 2-truncated cubes. https://doi.org/10.1070/rm2014v069n03abeh004903

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