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arXiv · 1308.1718

Webs on surfaces, rings of invariants, and clusters

Sergey Fomin·Pavlo Pylyavskyy
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Abstract

We construct and study cluster algebra structures in rings of invariants of the special linear group action on collections of three-dimensional vectors, covectors, and matrices. The construction uses Kuperberg's calculus of webs on marked surfaces with boundary.

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Sergey Fomin, Pavlo Pylyavskyy. 2013-08-08. Webs on surfaces, rings of invariants, and clusters. https://doi.org/10.1073/pnas.1313068111

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