paper

Kähler structures on quantum irreducible flag manifolds

arXiv:1901.09544 · doi:10.1016/j.geomphys.2019.07.008

Abstract

We prove that all quantum irreducible flag manifolds admit Kähler structures, as defined by Ó Buachalla. In order to show this result, we also prove that the differential calculi defined by Heckenberger and Kolb are differential *-calculi in a natural way.

v2: some errors corrected, main result slightly weakened