quivermutation

Quiver mutation in Java: These java applets implement quiver mutation (and cluster mutation) as invented in joint work by S. Fomin and A. Zelevinsky in 2000. Quiver mutation is related to a large number of subjects in mathematics and to Seiberg duality in physics, cf. for example section 6, page 21 of this article. A quiver is an oriented graph: it has vertices (nodes) and arrows between the vertices. To mutate with respect to a vertex, click the vertex. To adjust the picture after mutation, drag the vertices. Note that edges may lie one over the other.

Keywords for this software

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References in zbMATH (referenced in 40 articles )

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  1. Borges, Fernando; Pierin, Tanise Carnieri: A cluster character with coefficients for cluster category (2022)
  2. Fomin, Sergey; Igusa, Kiyoshi; Lee, Kyungyong: Universal quivers (2021)
  3. Bazier-Matte, Véronique; Plamondon, Pierre-Guy: Unistructurality of cluster algebras from unpunctured surfaces (2020)
  4. Keller, Bernhard; Demonet, Laurent: A survey on maximal green sequences (2020)
  5. Morier-Genoud, Sophie; Ovsienko, Valentin: (q)-deformed rationals and (q)-continued fractions (2020)
  6. Yang, Dong: Some examples of (t)-structures for finite-dimensional algebras (2020)
  7. Zickert, Christian K.: Fock-Goncharov coordinates for rank two Lie groups (2020)
  8. Bossinger, L.; Fourier, G.: String cone and superpotential combinatorics for flag and Schubert varieties in type A (2019)
  9. Caorsi, Matteo; Cecotti, Sergio: Homological classification of 4d (\mathcalN= 2) QFT. Rank-1 revisited (2019)
  10. Duan, Bing; Li, Jian-Rong; Luo, Yan-Feng: Cluster algebras and snake modules (2019)
  11. Fei, Jiarui: Cluster algebras, invariant theory, and Kronecker coefficients. II. (2019)
  12. Morier-Genoud, Sophie: Symplectic frieze patterns (2019)
  13. Fei, Jiarui: Cluster algebras and semi-invariant rings. II: Projections (2017)
  14. King, Alastair; Pressland, Matthew: Labelled seeds and the mutation group (2017)
  15. Lu, Ming: Singularity categories of some 2-CY-tilted algebras (2016)
  16. Mizuno, Yuya: On mutations of selfinjective quivers with potential. (2015)
  17. Qiu, Yu: Stability conditions and quantum dilogarithm identities for Dynkin quivers (2015)
  18. Bastian, Janine; Holm, Thorsten; Ladkani, Sefi: Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type (D). (2014)
  19. Fordy, Allan P.: Periodic cluster mutations and related integrable maps (2014)
  20. Lampe, P.: Quantum cluster algebras of type (A) and the dual canonical basis (2014)

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