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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Baseilhac, Stéphane, Roche, Philippe
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212260
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...