کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8903699 1632913 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Green-to-red sequences for positroids
ترجمه فارسی عنوان
توالی های سبز به قرمز برای پوزیترویدها
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
چکیده انگلیسی
L-diagrams are combinatorial objects that parametrize cells of the totally nonnegative Grassmannian, called positroid cells, and each L-diagram gives rise to a cluster algebra which is believed to be isomorphic to the coordinate ring of the corresponding positroid variety. We study quivers arising from these diagrams and show that they can be constructed from the well-behaved quivers associated to Grassmannians by deleting and merging certain vertices. Then, we prove that quivers coming from arbitrary L-diagrams, and more generally reduced plabic graphs, admit a particular sequence of mutations called a green-to-red sequence.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 159, October 2018, Pages 164-182
نویسندگان
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