A multiplicative property of quantum flag minors II

被引：5

作者：

Caldero, P ^{[1
]}

Marsh, BR

机构：

[1] Univ Lyon 1, Dept Math, F-69622 Villeurbanne, France

[2] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2004年 / 69卷

关键词：

D O I：

10.1112/S0024610704005174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U+ be the plus part of the quantized enveloping algebra of a simple Lie algebra of type A(n) and let beta* be the dual canonical basis of U+. Let b, b' be in B*, and suppose that one of the two elements is a q-commuting product of quantum flag minors. It is shown that b and b' are multiplicative if and only if they q-commute.

引用

页码：608 / 622

页数：15

共 22 条

[1] Tensor product multiplicities, canonical bases and totally positive varieties [J].