Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Baseilhac, Stéphane, Roche, Philippe
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212260
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1. Stéphane Baseilhac and Philippe Roche. SIGMA 20 (2024), 047, 70 pages

We prove that the quantum graph algebra and the quantum moduli algebra associated to a punctured sphere and a complex semisimple Lie algebra are Noetherian rings and finitely generated rings over ℂ(). Moreover, we show that these two properties still hold on ℂ[, ⁻¹] for the integral version of the...