کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8895969 1630407 2018 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Affine geometric crystal of An(1) and limit of Kirillov-Reshetikhin perfect crystals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Affine geometric crystal of An(1) and limit of Kirillov-Reshetikhin perfect crystals
چکیده انگلیسی
Let g be an affine Lie algebra with index set I={0,1,2,⋯,n} and gL be its Langlands dual. It is conjectured in [16] that for each k∈I∖{0} the affine Lie algebra g has a positive geometric crystal whose ultra-discretization is isomorphic to the limit of certain coherent family of perfect crystals for gL. Motivated by this conjecture we construct a positive geometric crystal for the affine Lie algebra g=An(1) for each Dynkin index k∈I∖{0} and show that its ultra-discretization is isomorphic to the limit of a coherent family of perfect crystals for An(1) given in [24]. In the process we develop and use some lattice-path combinatorics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 507, 1 August 2018, Pages 249-291
نویسندگان
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