کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10149788 1646770 2018 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Newton-Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Newton-Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules
چکیده انگلیسی
A Newton-Okounkov body is a convex body constructed from a projective variety with a valuation on its homogeneous coordinate ring; this generalizes a Newton polytope for a toric variety. This convex body inherits information about algebraic, geometric, and combinatorial properties of the original projective variety; for instance, Kaveh showed that string polytopes in the representation theory of algebraic groups are examples of Newton-Okounkov bodies for Schubert varieties. In this paper, we extend the notion of string polytopes for Demazure modules to generalized Demazure modules, and prove that the resulting generalized string polytopes are identical to the Newton-Okounkov bodies for Bott-Samelson varieties with respect to a specific valuation. As an application of this result, we show that these are indeed polytopes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 515, 1 December 2018, Pages 408-447
نویسندگان
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