کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585259 1630526 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some remarks on triangulated categories and Kac–Moody algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Some remarks on triangulated categories and Kac–Moody algebras
چکیده انگلیسی

In [L. Peng, J. Xiao, Triangulated categories and Kac–Moody algebras, Invent. Math. 140 (3) (2000) 563–603], the authors proved a theorem for constructing Hall type Lie algebras associated to 2-periodic triangulated categories. In particular, this theorem gives a global realization of symmetrizable Kac–Moody algebras. The purpose of this paper is to provide a refinement (meanwhile, a new proof) of the theorem by applying the approach of derived Hall algebras arising in homologically finite triangulated categories appeared in [B. Toën, Derived Hall algebras, Duke Math. J. 135 (3) (2006) 587–615] and [J. Xiao, F. Xu, Hall algebras associated to triangulated categories, Duke Math. J. 143 (2) (2008) 357–373].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 388, 15 August 2013, Pages 22–42
نویسندگان
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