Geodesic
On the existence of deformations of Lie algebras of $Z$~series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2015), pp. 26-34

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The paper continues the series of investigations devoted to description of filtered deformations of exceptional Lie algebras over algebraically closed fields of characteristic $p=3$. We construct the realization of filtered deformations of Lie algebras of $Z$ series as subalgebras of the infinite-dimensional algebra $Z(E)$. We prove that these deformations are non-isomorphic to the corresponding graded Lie algebras.
Keywords: modular Lie algebras, filtered deformations. 
@article{IVM_2015_4_a2,
     author = {A. A. Ladilova},
     title = {On the existence of deformations of {Lie} algebras of $Z$~series},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {26--34},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_4_a2/}
}
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A. A. Ladilova. On the existence of deformations of Lie algebras of $Z$~series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2015), pp. 26-34. http://geodesic.mathdoc.fr/item/IVM_2015_4_a2/