Primitively generated Hall algebras
Primitively generated Hall algebras
复制标题
DOI：
10.2140/pjm.2016.281.287
复制
发表时间：
2012-09
影响因子：
0.6
通讯作者：
A. Berenstein;Jacob Greenstein
中科院分区：
文献类型：
--
作者：
A. Berenstein;Jacob Greenstein
Author(s): Berenstein, A; Greenstein, J | Abstract: © 2016 Mathematical Sciences Publishers. In the present paper we show that Hall algebras of finitary exact categories behave like quantum groups in the sense that they are generated by indecomposable objects. Moreover, for a large class of such categories, Hall algebras are generated by their primitive elements, with respect to the natural comultiplication, even for nonhereditary categories. Finally, we introduce certain primitively generated subalgebras of Hall algebras and conjecture an analogue of "Lie correspondence" for those finitary categories.
