On the existence of deformations of the Lie algebras of series Z
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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.
Keywordsmodular Lie algebras filtered deformations
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