Double Hall algebras and derived equivalences

被引：24

作者：

Cramer, Tim ^{[1
]}

机构：

[1] Yale Univ, Dept Math, New Haven, CT 06520 USA

来源：

ADVANCES IN MATHEMATICS | 2010年 / 224卷 / 03期

关键词：

Ringel-Hall algebra; Drinfeld double; Derived category; Quiver; Reflection functor; Weighted projective lines; QUANTUM GROUPS; PROJECTIVE CURVES; CATEGORIES;

D O I：

10.1016/j.aim.2009.12.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the reduced Drinfeld double of the Ringel-Hall algebra of a hereditary category is invariant under derived equivalences. By associating an explicit isomorphism to a given derived equivalence, we also extend the results of Burban and Schiffmann [5,6], Sevenhant and Van den Bergh (1999) [25], and Xiao and Yang (2001) [31]. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1097 / 1120

页数：24