Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


Special Issue on Cluster Algebras

The Guest Editors for this special issue are

Kyungyong Lee (University of Nebraska-Lincoln, USA and Korea Institute for Advanced Study, Republic of Korea)
Li Li (Oakland University, USA)
Ralf Schiffler (University of Connecticut, USA)


The topics include:

  • theory of cluster algebras;
  • connections and applications to other areas including Lie theory, combinatorics, representation theory, algebraic geometry, dynamical systems, hyperbolic geometry, knot theory, quantum algebra, mathematical physics;
  • related topics.

Cluster algebras are commutative algebras with a special combinatorial structure. By definition a cluster algebra is a subalgebra of a field of rational functions in several variables, and it is determined by a set of generators, the cluster variables, which are constructed recursively by mutation. The combinatorial structure is one of the reasons why cluster algebras are related to many areas of mathematics and physics.

The researchers whose work is directly concerned with the above topics, are invited to submit papers to the special issue. Both original research articles and review papers are welcome.

How to Submit an Article to the Issue.

There is no limit to the length of an article. Deadline for paper submission is March 31, 2020.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.


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