Finite dimensional algebras and highest weight categories.
Finite dimensional algebras and highest weight categories.
复制标题
DOI：
10.1515/crll.1988.391.85
复制
发表时间：
1988
期刊：
影响因子：
--
通讯作者：
E. Cline;B. Parshall;L. Scott
中科院分区：
文献类型：
--
作者：
E. Cline;B. Parshall;L. Scott
本文继续我们在[8]，[9](另见[15]，[18])中开始的程序，在该程序中，作者已开始在半单代数群的模表示理论中利用派生范畴理论的一些强大技巧。正如上面提到的，这项工作的灵感既来自几何，也来自有限维代数[2]、[3]、[13]、[14]的倾斜理论，前者是Bernstein-Beilinson-Deligne[1]关于奇异空间和斜轴的经典代数工作的形式。本文将这种与有限维代数表示理论的联系扩展为一个中心主题。
This paper continues the program begun by us in [8]), [9] (see also [15], [18]) in which the authors have begun to exploit in the modular representation theory of semisimple algebraic groups some of the powerful techniques of the theory of derived categories. As noted in the above references, the Inspiration for this work comes both from geometry, in the form of the classic algebraic work of Bernstein-Beilinson-Deligne [1] on singular spaces and perverse sheaves, and from the tilting theory of finite dimensional algebras [2], [3], [13], [14]. The present paper broadens and extends this connection with finite dimensional algebra representation theory into a central theme.