English

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

Representation Theory 2012-12-12 v1 Rings and Algebras

Abstract

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

Keywords

Cite

@article{arxiv.1212.2297,
  title  = {The matrix between PBW basis and semicanonical basis of $U^+(sl_n(\mathbb{C}))$},
  author = {Hongbo Yin and Shunhua Zhang},
  journal= {arXiv preprint arXiv:1212.2297},
  year   = {2012}
}

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18 pages