The comultiplication of modified quantum affine \fraksl_n

2015/11/18 by Fu, Qiang
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1511.05745

Abstract

Let U(\widehat\fraksl_n) be the modified quantum affine \fraksl_n and let \bf U(\widehat\fraksl_N)⁺ be the positive part of quantum affine \fraksl_N. Let B(n) be the canonical basis of U(\widehat\fraksl_n) and let B(N)^ap be the canonical basis of \bf U(\widehat\fraksl_N)⁺. It is proved in \citeFS that each structure constant for the multiplication with respect to B(n) coincide with a certain structure constant for the multiplication with respect to B(N)^ap for n

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