Skip to main content
Log in

AUTOMORPHISMS OF CLUSTER ALGEBRAS OF RANK 2

  • Published:
Transformation Groups Aims and scope Submit manuscript

Abstract

We compute the automorphism group of the affine surfaces with the coordinate ring isomorphic to a cluster algebra of rank 2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. Assem, R. Schiffler, V. Shramchenko, Cluster automorphisms, Proc. Lond. Math. Soc. (3) 104 (2012), 1271–1302.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Berenstein, S. Fomin, A. Zelevinsky, Cluster algebras. III. Upper bounds and double Bruhat cells, Duke Math. J. 126 (2005), 1–52.

    Article  MATH  MathSciNet  Google Scholar 

  3. I. V. Dolgachev, Classical Algebraic Geometry: a Modern View, Cambridge University Press, Cambridge, 2012.

    Book  Google Scholar 

  4. S. Fomin, A. Zelevinsky, Cluster algebras. I. Foundations, J. Amer. Math. Soc. 15 (2002), 497–529.

    Article  MATH  MathSciNet  Google Scholar 

  5. P. Sherman, A. Zelevinsky, Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Mosc. Math. J. 4 (2004), 947–974.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to JÉRÉMY BLANC.

Additional information

To the memory of Andrei Zelevinsky (1953–2013)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

BLANC, J., DOLGACHEV, I. AUTOMORPHISMS OF CLUSTER ALGEBRAS OF RANK 2. Transformation Groups 20, 1–20 (2015). https://doi.org/10.1007/s00031-014-9289-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00031-014-9289-2

Keywords

Navigation