A MULTIPLICATIVE PROPERTY OF QUANTUM FLAG MINORS II
Published online by Cambridge University Press: 24 May 2004
Abstract
Let $U^+$ be the plus part of the quantized enveloping algebra of a simple Lie algebra of type $A_n$ and let $\mathcal{B}^*$ be the dual canonical basis of $U^+$. Let $b$, $b'$ be in $\mathcal{B}^*$, 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.
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- The London Mathematical Society 2004
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