Abstract
The simple, modular Lie algebras of Zassenhaus have peculiar features in characteristic three. Their second cohomology groups are larger than in characteristicp>3, and they possess a non-degenerate associative form. These properties are reflected in the presentations of certain loop algebras of these algebras, that arise naturally in analogy with the graded Lie algebra associated to the Nottingham group with respect to its lower central series.
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