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Cluster algebras I: Foundations

Representation Theory 2007-05-23 v1 Algebraic Geometry Quantum Algebra

Abstract

In an attempt to create an algebraic framework for dual canonical bases and total positivity in semisimple groups, we initiate the study of a new class of commutative algebras.

Keywords

Cite

@article{arxiv.math/0104151,
  title  = {Cluster algebras I: Foundations},
  author = {Sergey Fomin and Andrei Zelevinsky},
  journal= {arXiv preprint arXiv:math/0104151},
  year   = {2007}
}

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33 pages