Changes between Version 2 and Version 3 of Ticket #26771


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Timestamp:
01/28/19 18:11:20 (3 years ago)
Author:
drupel
Comment:

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  • Ticket #26771

    • Property Cc etn40ff added
    • Property Milestone changed from sage-8.5 to sage-8.7
  • Ticket #26771 – Description

    v2 v3  
    33In 2011, [https://arxiv.org/abs/1111.3963 Chekhov and Shapiro] introduced a generalization of cluster algebras in which the exchange polynomials are allowed to have arbitrarily many terms.
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    5 We want to create a new class, GeneralizedClusterSeed, and related methods necessary to implement these algebras in Sage. We plan to build on the framework established by Rupel and Stella's [http://doc.sagemath.org/html/en/reference/algebras/sage/algebras/cluster_algebra.html implementation] of cluster algebras.
     5We aim to add generalized cluster algebra functionality and related methods necessary to implement the current understanding of these algebras in Sage.  This will be accomplished by building upon the framework established by Rupel and Stella's [http://doc.sagemath.org/html/en/reference/algebras/sage/algebras/cluster_algebra.html] implementation of cluster algebras.
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    77Our major functionality objectives are:
    8 * creating a class for generalized cluster seeds, with analogous attributes to ClusterSeed
    9 * implementing generalized mutation for coefficients subject to the normalization conditions defined by [https://arxiv.org/abs/1409.5967 Tomoki Nakanishi].
    10 * creating methods for calculating left and right companion algebras
    11 * creating a method for unfolding cluster algebras
     8* adding the ability to mutate with arbitrary exchange polynomials to the current ClusterAlgebra package;
     9* implementing generalized mutation for coefficients subject to the normalization conditions defined by [https://arxiv.org/abs/1409.5967 Tomoki Nakanishi];
     10* creating methods for calculating left and right companion cluster algebras;
     11* creating a method for unfolding cluster algebras.
    1212
    1313For more information, see: