کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587831 1334161 2008 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The crossing model for regular An-crystals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The crossing model for regular An-crystals
چکیده انگلیسی

A regular An-crystal is an edge-colored directed graph, with n colors, related to an irreducible highest weight integrable module over Uq(sln+1). Based on Stembridge's local axioms for regular simply-laced crystals and a structural characterization of regular A2-crystals in [V.I. Danilov, A.V. Karzanov, G.A. Koshevoy, Combinatorics of regular A2-crystals, J. Algebra 310 (2007) 218–234], we present a new combinatorial construction, the so-called crossing model, and prove that this model generates precisely the set of regular An-crystals.Using the model, we obtain a series of results on the combinatorial structure of such crystals and properties of their subcrystals.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 9, 1 November 2008, Pages 3398-3424