Mathematics – Representation Theory
Scientific paper
2003-01-24
Mathematics
Representation Theory
13 pages, no figures
Scientific paper
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.
Caldero Philippe
Marsh Robert
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