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Loop algebras of Zassenhaus algebras in characteristic three

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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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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, I-38050, Povo (Trento), Italy

    A. Caranti

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  1. A. Caranti
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Partially supported by MURST, Italy. The author is a member of CNR-GNSAGA, Italy. The author is grateful to the Mathematisches Forschungsinstitut Oberwolfach for the kind hospitality while part of this work was being written.

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Caranti, A. Loop algebras of Zassenhaus algebras in characteristic three. Isr. J. Math. 110, 61–73 (1999). https://doi.org/10.1007/BF02808175

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  • DOI: https://doi.org/10.1007/BF02808175

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