Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Baseilhac, Stéphane, Roche, Philippe
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211520
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres. Stéphane Baseilhac and Philippe Roche. SIGMA 18 (2022), 025, 78 pages

Let Σ be a finite type surface, and a complex algebraic simple Lie group with Lie algebra . The quantum moduli algebra of (Σ, ) is a quantization of the ring of functions of (Σ), the variety of -characters of π₁(Σ), introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche in the mid '90s. I...