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Quantization of continuum Kac–Moody algebras

Quantization of continuum Kac–Moody algebras

Continuum Kac-Moody algebras have been recently introduced by the authors and O. Schiffmann in [ASS18].These are Lie algebras governed by a continuum root system, which can be realized as uncountable colimits of Borcherds-Kac-Moody algebras.In this paper, we prove that any continuum Kac-Moody algebra g is canonically endowed with a non-degenerate …