The matrix between PBW basis and semicanonical basis of $U^+(sl_n(\mathbb{C}))$

preprint2012arXivOpen access

In this paper, we prove that the matrix between a special PBW basis and the semicanonical basis of $U^+(sl_n(\mathbb{C}))$ is upper triangular unipotent under any order which is compatible with the partial order $\leq_{deg}$ .

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The matrix between PBW basis and semicanonical basis of $U^+(sl_n(\mathbb{C}))$

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The matrix between PBW basis and semicanonical basis of U+(sln(C))U^+(sl_n(\mathbb{C}))U+(sln​(C))

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The matrix between PBW basis and semicanonical basis of $U^+(sl_n(\mathbb{C}))$