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arXiv · 1212.2297

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

Hongbo Yin·Shunhua Zhang
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Abstract

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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Hongbo Yin, Shunhua Zhang. 2012-12-11. The matrix between PBW basis and semicanonical basis of $U^+(sl_n(\mathbb{C}))$. https://arxiv.org/abs/1212.2297

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