English

K\"ahler structures on quantum irreducible flag manifolds

Quantum Algebra 2019-08-15 v2

Abstract

We prove that all quantum irreducible flag manifolds admit K\"ahler structures, as defined by \'O 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.

Keywords

Cite

@article{arxiv.1901.09544,
  title  = {K\"ahler structures on quantum irreducible flag manifolds},
  author = {Marco Matassa},
  journal= {arXiv preprint arXiv:1901.09544},
  year   = {2019}
}

Comments

v2: some errors corrected, main result slightly weakened

R2 v1 2026-06-23T07:23:44.928Z