THE CHAMBER ANSATZ FOR QUANTUM UNIPOTENT CELLS

研究成果: Article

抄録

In this paper, we prove quantum analogues of the Chamber Ansatz formulae for unipotent cells. These formulae imply that the quantum twist automorphisms, constructed by Kimura and the author, are generalizations of Berenstein–Rupel’s quantum twist automorphisms for unipotent cells associated with the squares of acyclic Coxeter elements. This conclusion implies that the known compatibility between quantum twist automorphisms and dual canonical bases corresponds to the property conjectured by Berenstein and Rupel.

元の言語English
ジャーナルTransformation Groups
DOI
出版物ステータスAccepted/In press - 2018 1 1
外部発表Yes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

これを引用

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abstract = "In this paper, we prove quantum analogues of the Chamber Ansatz formulae for unipotent cells. These formulae imply that the quantum twist automorphisms, constructed by Kimura and the author, are generalizations of Berenstein–Rupel’s quantum twist automorphisms for unipotent cells associated with the squares of acyclic Coxeter elements. This conclusion implies that the known compatibility between quantum twist automorphisms and dual canonical bases corresponds to the property conjectured by Berenstein and Rupel.",
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