Showing math.QAShow all
3 papers · 1 filter
math.QA2026
On the structure and representations of quantum graph algebras at roots of unity
Stéphane Baseilhac, Matthieu Faitg, Philippe Roche
We study the specializations at roots of unity of odd order of the graph algebras, associated to a simply-connected complex semi-simple algebraic group…
math.QA2025
Noetherian and affine properties of quantum moduli and -skein algebras
Stéphane Baseilhac, Matthieu Faitg, Philippe Roche
We prove that the quantum moduli algebra associated to a possibly punctured compact oriented surface and a complex semisimple Lie algebra is a Noetherian and finitel…
math.QA2024
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1
Stéphane Baseilhac, Philippe Roche
We prove that the quantum graph algebra and the quantum moduli algebra associated to a punctured sphere and complex semisimple Lie algebra are Noetherian rings and f…