On the existence of deformations of the Lie algebras of series Z

Abstract

The paper continues a series of investigations devoted to the description of filtered deformations of the exceptional Lie algebras over algebraically closed fields of characteristic p = 3. The author constructs a realization of filtered deformations of the series Z Lie algebras as subalgebras in the infinite-dimensional algebra Z(E). It is proved that these deformations are not isomorphic to the respective graded algebras.

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Correspondence to A. A. Ladilova.

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Original Russian Text © A.A. Ladilova, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 4, pp. 26–34.

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Ladilova, A.A. On the existence of deformations of the Lie algebras of series Z . Russ Math. 59, 20–27 (2015). https://doi.org/10.3103/S1066369X15040039

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Keywords

  • modular Lie algebras
  • filtered deformations