کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4596354 | 1336163 | 2015 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hom-configurations in triangulated categories generated by spherical objects
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
Hom- and Riedtmann configurations were studied in the context of stable module categories of selfinjective algebras and a certain orbit category C1(Q) of the bounded derived category of a Dynkin quiver Q, which is highly reminiscent of the cluster category. The category C1(Q) is (â1)-Calabi-Yau. In this paper we consider triangulated categories generated by w-spherical objects, for w<0, and higher versions of the orbit category C1(An), denoted by C|w|(An). These categories have also negative Calabi-Yau dimension. We classify the (higher) Hom- and Riedtmann configurations for these categories, and link them with noncrossing partitions in the case w=â1. Along the way, we obtain a geometric model for C|w|(An).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 8, August 2015, Pages 3322-3336
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 8, August 2015, Pages 3322-3336
نویسندگان
Raquel Coelho Simões,