UNRESTRICTED QUANTUM MODULI ALGEBRAS, II: NOETHERIANITY AND SIMPLE FRACTION RINGS AT ROOTS OF 1
Résumé
We prove that the unrestricted quantum moduli algebra of a punctured sphere and complex simple Lie algebra g is a finitely generated ring and a Noetherian ring, and that specializations at roots of unity of odd order l embed in a natural way in a central simple algebra of PI degree l^{(n−1)N −m}, where N is the number of positive roots of g, m its rank, and n + 1 ≥ 3 the number of punctures.
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