Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• 1. Verfasser: Rembado, Gabriele
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211017
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties. Gabriele Rembado. SIGMA 16 (2020), 103, 44 pages

We will exhibit a group of symmetries of the simply-laced quantum connections, generalising the quantum/Howe duality relating KZ and the Casimir connection. These symmetries arise as a quantisation of the classical symmetries of the simply-laced isomonodromy systems, which in turn generalise the Har...