Quantum Twist Maps and Dual Canonical Bases

Yoshiyuki Kimura, Hironori Oya

研究成果: Article

1 引用 (Scopus)

抜粋

In this paper, we show that quantum twist maps, introduced by Lenagan-Yakimov, induce bijections between dual canonical bases of quantum nilpotent subalgebras. As a corollary, we show the unitriangular property between dual canonical bases and Poincaré-Birkhoff-Witt type bases under the “reverse” lexicographic order. We also show that quantum twist maps induce bijections between certain unipotent quantum minors.

元の言語English
ページ(範囲)589-604
ページ数16
ジャーナルAlgebras and Representation Theory
21
発行部数3
DOI
出版物ステータスPublished - 2018 6 1
外部発表Yes

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ASJC Scopus subject areas

  • Mathematics(all)

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