Changes between Version 2 and Version 3 of Ticket #26771
- Timestamp:
- Jan 28, 2019, 6:11:20 PM (4 years ago)
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Ticket #26771
- Property Cc etn40ff added
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changed from
sage-8.5
tosage-8.7
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Ticket #26771 – Description
v2 v3 3 3 In 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. 4 4 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.5 We 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. 6 6 7 7 Our major functionality objectives are: 8 * creating a class for generalized cluster seeds, with analogous attributes to ClusterSeed9 * 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 algebras11 * 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. 12 12 13 13 For more information, see: