On the double of the Hall algebra of a quiver

被引：44

作者：

Sevenhant, B ^{[1
]}

Van den Bergh, M ^{[1
]}

机构：

[1] Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium

来源：

JOURNAL OF ALGEBRA | 1999年 / 221卷 / 01期

关键词：

Hall algebra; quantum Weyl groups; quantum groups;

D O I：

10.1006/jabr.1999.7958

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that it is possible to define reflection isomorphisms on the double of the (twisted) Hall algebra of a quiver. Combining these reflections with Fourier transform yields an alternative construction of Lusztig's braid group action on a quantum enveloping algebra. (C) 1999 Academic Press.

引用

页码：135 / 160

页数：26

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