Webs on surfaces, rings of invariants, and clusters
Quantum Algebra
2015-06-16 v1 Combinatorics
Representation Theory
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.
Keywords
Cite
@article{arxiv.1308.1718,
title = {Webs on surfaces, rings of invariants, and clusters},
author = {Sergey Fomin and Pavlo Pylyavskyy},
journal= {arXiv preprint arXiv:1308.1718},
year = {2015}
}