THE CHAMBER ANSATZ FOR QUANTUM UNIPOTENT CELLS

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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.

Original languageEnglish
JournalTransformation Groups
DOIs
Publication statusAccepted/In press - 2018 Jan 1
Externally publishedYes

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ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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