Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Authors: Carotenuto, Alessandro, Ó Buachalla, Réamonn
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211718
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds. Alessandro Carotenuto and Réamonn Ó Buachalla. SIGMA 18 (2022), 070, 21 pages

It was recently shown (by the second author and Díaz García, Krutov, Somberg, and Strung) that every relative line module over an irreducible quantum flag manifold q(/ₛ) admits a unique q()-covariant connection with respect to the Heckenberger-Kolb differential calculus Ω¹q(/ₛ). In this paper, we sh...