Quantum Twist Maps and Dual Canonical Bases

Yoshiyuki Kimura, Hironori Oya

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)589-604
ページ数16
ジャーナルAlgebras and Representation Theory
21
3
DOI
出版ステータスPublished - 2018 6 1
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント 「Quantum Twist Maps and Dual Canonical Bases」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル