# Quantum Twist Maps and Dual Canonical Bases

Yoshiyuki Kimura, Hironori Oya

2 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 589-604 16 Algebras and Representation Theory 21 3 https://doi.org/10.1007/s10468-017-9729-5 Published - 2018 6月 1 はい

• 数学 (全般)

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