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arXiv · 1112.2300

Reflection group presentations arising from cluster algebras

Michael Barot·Bethany Marsh
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Abstract

We give a presentation of a finite crystallographic reflection group in terms of an arbitrary seed in the corresponding cluster algebra of finite type and interpret the presentation in terms of companion bases in the associated root system.

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Michael Barot, Bethany Marsh. 2011-12-10. Reflection group presentations arising from cluster algebras. https://arxiv.org/abs/1112.2300

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