activity
19982008
most citedQuivers with potentials and their representations I: Mutations

20 citations · 78 across the 10 of their papers we have counts for

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Showing 2001Show all

2 papers · 1 filter

hep-th2001

Y-systems and generalized associahedra

Sergey Fomin, Andrei Zelevinsky

We prove, for an arbitrary finite root system, the periodicity conjecture of Al.B.Zamolodchikov concerning Y-systems, a particular class of functional relations arising in the theo…

math.RT2001

Cluster algebras I: Foundations

Sergey Fomin, Andrei Zelevinsky

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.