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The Ring of Invariants for Smooth Completions of Kac-Moody Lie Algebras

Ian Marshall, Tudor Ratiu

dg-gaarXiv:dg-ga/9503009

Abstract

It is proved that the ring of invariants of the standard smooth completion of a Kac-Moody Lie algebra is functionally generated by two elements: the coefficient of the center and the Killing form.

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