Concepedia

Cluster Algebras

Cluster Algebras is a commutative ring endowed with a distinguished set of generators, called cluster variables, that are recursively constructed through a process of seed mutations, thereby exhibiting a combinatorial and algebraic structure governed by exchange relations.

415

Publications

25.1K

Citations

267

Authors

213

Institutions

Publications per year

2017–2026

88

Parents

Publications

415

Cluster algebras I: Foundations

Sergey Fomin, Andrei Zelevinsky · Journal of the American Mathematical Society · 2001 · 1.7K citations · Full text

, , +8

Tilting theory and cluster combinatorics

Aslak Bakke Buan, Bethany Marsh, Markus Reineke et al. · Advances in Mathematics · 2005 · 944 citations

, , +10

Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Sergey Fomin, Michael Shapiro, Dylan P. Thurston · Acta Mathematica · 2008 · 605 citations · Full text

, , +10

Cluster algebras IV: Coefficients

Sergey Fomin, Andrei Zelevinsky · Compositio Mathematica · 2007 · 603 citations · Full text

, , +7

Cluster algebras II: Finite type classification

2003 · 584 citations

, , +9

1–5 of 415

Authors

267

  1. RS
    Ralf Schiffler

    University of Connecticut, United States

    24 publications · 1.4K citations

    19

    h-index

  2. IR
    Idun Reiten

    Norwegian University of Science and Technology, Norway

    22 publications · 2.8K citations

    18

    h-index

  3. AZ
    Andrei Zelevinsky

    Northeastern University, United States

    20 publications · 4K citations

    16

    h-index

  4. BK
    Bernhard Keller

    Université Paris Cité, France

    20 publications · 2.2K citations

    15

    h-index

  5. AB
    Aslak Bakke Buan

    Norwegian University of Science and Technology, Norway

    18 publications · 2.3K citations

    15

    h-index

1–5 of 267

Institutions

213

  1. Northeastern University

    Boston, United States

    23 h-index

    38 publications

    8K citations

  2. University of Michigan

    Ann Arbor, United States

    22 h-index

    35 publications

    5.7K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    22 h-index

    41 publications

    2.7K citations

  4. Université Paris Cité

    Paris, France

    20 h-index

    28 publications

    2.4K citations

  5. Trondheim Kommune

    Trondheim, Norway

    17 h-index

    32 publications

    4K citations

  6. Norwegian University of Science and Technology

    Trondheim, Norway

    17 h-index

    31 publications

    3.5K citations

  7. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    16 h-index

    21 publications

    1.9K citations

  8. University of Connecticut

    Storrs, United States

    16 h-index

    22 publications

    1.1K citations

1–8 of 213

Venues

  1. arXiv (Cornell University)

    Repository · 56 publications · 1.3K citations

    23

    h-index

  2. Advances in Mathematics

    18 publications · 2.4K citations

    16

    h-index

  3. Journal of Algebra

    20 publications · 593 citations

    15

    h-index

  4. International Mathematics Research Notices

    IMRN · 21 publications · 613 citations

    13

    h-index

  5. ArXiv.org

    Repository · 17 publications · 871 citations

    13

    h-index

1–5