Concepedia

Quiver Representations

Quiver Representation is a mathematical framework in graphical representation theory that assigns vector spaces to the vertices and linear maps to the edges of a directed graph, thereby encoding algebraic structures through the combinatorial geometry of quivers.

630

Publications

28.2K

Citations

627

Authors

395

Institutions

Publications per year

2017–2026

131

Variants

Quiver Representation

Parents

Publications

630

Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

Hiraku Nakajima · Duke Mathematical Journal · 1994 · 858 citations

, , +15

$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory

Davide Gaiotto, Edward Witten · Advances in Theoretical and Mathematical Physics · 2009 · 807 citations · Full text

, , +12

Quivers with potentials and their representations I: Mutations

Harm Derksen, Jerzy Weyman, Andrei Zelevinsky · Selecta Mathematica · 2008 · 453 citations

, , +5

Quivers, perverse sheaves, and quantized enveloping algebras

G. Lusztig · Journal of the American Mathematical Society · 1991 · 436 citations

, , +16

Cluster algebras as Hall algebras of quiver representations

Philippe Caldero, Frédéric Chapoton · Commentarii Mathematici Helvetici · 2006 · 429 citations · Full text

, , +9

1–5 of 630

Authors

627

  1. MR
    Markus Reineke

    University of Wuppertal, Germany

    17 publications · 946 citations

    14

    h-index

  2. JW
    Jerzy Weyman

    Northeastern University, United States

    12 publications · 1.3K citations

    12

    h-index

  3. HN
    Hiraku Nakajima

    Kyoto University, Japan

    11 publications · 2K citations

    11

    h-index

  4. HD
    Harm Derksen

    University of Michigan, United States

    10 publications · 1.3K citations

    10

    h-index

  5. CM
    Claus Michael Ringel

    Bielefeld University, Germany

    9 publications · 354 citations

    9

    h-index

1–5 of 627

Institutions

395

  1. Kyoto University

    Kyoto, Japan

    17 h-index

    21 publications

    1.6K citations

  2. The University of Tokyo

    Tokyo, Japan

    14 h-index

    21 publications

    806 citations

  3. University of Leeds

    Leeds, United Kingdom

    13 h-index

    21 publications

    1.3K citations

  4. University of Michigan

    Ann Arbor, United States

    13 h-index

    16 publications

    1.2K citations

  5. Northeastern University

    Boston, United States

    13 h-index

    20 publications

    2.7K citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    20 publications

    885 citations

  7. University of Wuppertal

    Wuppertal, Germany

    12 h-index

    21 publications

    971 citations

  8. Bielefeld University

    Bielefeld, Germany

    12 h-index

    18 publications

    558 citations

1–8 of 395

Venues

  1. Journal of High Energy Physics

    JHEP · 91 publications · 4.4K citations

    37

    h-index

  2. Advances in Mathematics

    24 publications · 1.3K citations

    19

    h-index

  3. arXiv (Cornell University)

    Repository · 44 publications · 1.1K citations

    18

    h-index

  4. Journal of Algebra

    36 publications · 949 citations

    18

    h-index

  5. ArXiv.org

    Repository · 28 publications · 647 citations

    15

    h-index

1–5