Reflection group presentations arising from cluster algebras
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Tue, 01/05/2012 17:00 |
Professor R. Marsh (Leeds) |
Algebra Seminar  |
L2 |
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Finite reflection groups are often presented as Coxeter groups. We give a
presentation of finite crystallographic reflection group in terms of an
arbitrary seed in the corresponding cluster algebra of finite type for which
the Coxeter presentation is a special case. We interpret the presentation in
terms of companion bases in the associated root system. This is joint work with
Michael Barot (UNAM, Mexico)
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