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A multiplicative property of quantum flag minors II

Philippe Caldero, Bethany Marsh

math.RTarXiv:math/0301280

Abstract

Let U+ be the plus part of the quantized enveloping algebra of a simple Lie algebra and let B* 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. We show that b and b' are multiplicative if and only if they q-commute.

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