An elementary construction of monomial bases of modified quantum affine gl(n)
An elementary construction of monomial bases of modified quantum affine gl(n)
复制标题
修正量子仿射gl(n)单项式基的初等构造
DOI：
10.1112/jlms.12049
复制
发表时间：
2017
影响因子：
1.2
通讯作者：
Luo Li
中科院分区：
文献类型：
--
作者：
Lai Chun Ju;Luo Li
1990年，Beilinson，Lusztig和MacPherson给出了修正量子的几何实现及其正则基。他们工作的一个关键步骤是构造一个单项基。最近，Du和Fu提供了修改量子仿射的正则基的代数构造，其中包括使用循环代数的Ringel-Hall代数的单项式基的早期构造。本文给出了仿射Schur代数和修正量子仿射的单项式基的初等代数构造。
In 1990 Beilinson, Lusztig and MacPherson provided a geometric realization of modified quantumand its canonical basis. A key step of their work is a construction of a monomial basis. Recently, Du and Fu provided an algebraic construction of the canonical basis for modified quantum affine, which among other results used an earlier construction of monomial bases using Ringel–Hall algebra of the cyclic quiver. In this paper, we give an elementary algebraic construction of a monomial basis for affine Schur algebras and modified quantum affine.