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

Hongbo Yin; Shunhua Zhang

arxiv: 1212.2297 · v1 · pith:4Z2UIQPTnew · submitted 2012-12-11 · 🧮 math.RT · math.RA

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

Hongbo Yin , Shunhua Zhang This is my paper

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keywords basismathbbmatrixordersemicanonicalcompatiblepartialprove

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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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