Categorification and the quantum Grassmannian
نویسندگان
چکیده
In an earlier work, we gave (additive) categorification of Grassmannian cluster algebras using the category CM(A) Cohen-Macaulay modules for a certain Gorenstein order A. this paper, each tilting object in CM(A), construct compatible pair (B,L) way that is consistent with mutation. This then determines quantum algebra and show that, when comes from rank one summands, (generically) isomorphic to corresponding Grassmannian. The key ingredient construction new invariant κ(M,N) M,N which also has intriguing link mirror symmetry.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108577