Russian Mathematics

, Volume 59, Issue 4, pp 20–27 | Cite as

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

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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.

Keywords

modular Lie algebras filtered deformations 

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Copyright information

© Allerton Press, Inc. 2015

Authors and Affiliations

  1. 1.“S3D Labs Ltd”KolomnaRussia

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