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

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine