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The transition matrix between PBW basis and semicanonical basis of U +(\(\mathfrak{s}\mathfrak{l}_n \)(ℂ))

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Abstract

We prove that the transition matrix between a special Poincaré-Birkhoff-Witt (PBW) basis and the semicanonical basis of U +(\(\mathfrak{s}\mathfrak{l}_n \)(ℂ)) is upper triangular and unipotent under any order which is compatible with the partial order ⩽deg.

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Correspondence to ShunHua Zhang.

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Yin, H., Zhang, S. The transition matrix between PBW basis and semicanonical basis of U +(\(\mathfrak{s}\mathfrak{l}_n \)(ℂ)). Sci. China Math. 57, 1427–1434 (2014). https://doi.org/10.1007/s11425-014-4804-4

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  • DOI: https://doi.org/10.1007/s11425-014-4804-4

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