Reflection group presentations arising from cluster algebras

Details Reflection group presentations arising from cluster algebras Reflection group presentations arising from cluster algebras

2011-12-10

arxiv.org/abs/1112.2300v1

Mathematics

Group Theory

25 pages, no separate figure files

Scientific paper

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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