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Andrei Zelevinsky
Researcher at Northeastern University
Publications - 109
Citations - 17086
Andrei Zelevinsky is an academic researcher from Northeastern University. The author has contributed to research in topics: Cluster algebra & Algebra representation. The author has an hindex of 51, co-authored 108 publications receiving 15852 citations. Previous affiliations of Andrei Zelevinsky include Cornell University & Russian Academy of Sciences.
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Discriminants, Resultants, and Multidimensional Determinants
TL;DR: The Cayley method of studying discriminants was used by Cayley as discussed by the authors to study the Cayley Method of Discriminants and Resultants for Polynomials in One Variable and for forms in Several Variables.
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Cluster algebras I: Foundations
Sergey Fomin,Andrei Zelevinsky +1 more
TL;DR: In this article, a new class of commutative algebras was proposed for dual canonical bases and total positivity in semisimple groups. But the study of the algebraic framework is not yet complete.
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Cluster algebras IV: Coefficients
Sergey Fomin,Andrei Zelevinsky +1 more
TL;DR: In this paper, the dependence of a cluster algebra on the choice of coefficients was studied, and it was shown that for cluster algebras with principal coefficients, the exchange graph of the cluster algebra with the same exchange matrix covers the exchange matrix of any cluster algebra of the same type.
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Cluster algebras II: Finite type classification
Sergey Fomin,Andrei Zelevinsky +1 more
TL;DR: In this paper, a complete classification of cluster algebras of finite type is presented, i.e., those with finitely many clusters, which is identical to the Cartan-Killing classification of semisimple Lie algebases and finite root systems.
Journal ArticleDOI
Cluster algebras II: Finite type classification
Sergey Fomin,Andrei Zelevinsky +1 more
TL;DR: In this paper, a complete classification of cluster algebras of finite type is presented, i.e., those with finitely many clusters, which is identical to the Cartan-Killing classification of semisimple Lie algebases and finite root systems.