$\delta$-superderivations of semisimple Jordan superalgebras

Ivan Kaygorodov

doi:10.1134/S0001434612010208

$\delta$-superderivations of semisimple Jordan superalgebras

Rings and Algebras 2020-04-03 v1 Quantum Algebra

Authors: Ivan Kaygorodov

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Abstract

We described $\delta$ -derivations and $\delta$ -superderivations of simple and semisimple finite-dimensional Jordan superalgebras over algebraic closed fields with characteristic $p\neq2$ . We constructed new examples of 1/2-derivations and 1/2-superderivations of simple Zelmanov's superalgebra $V_{1/2}(Z,D).$

Keywords

delta-superderivations semisimple Jordan superalgebras simple Jordan superalgebras Zelmanov superalgebra characteristic p algebraically closed field

Cite

@article{arxiv.1106.2680,
  title  = {$\delta$-superderivations of semisimple Jordan superalgebras},
  author = {Ivan Kaygorodov},
  journal= {arXiv preprint arXiv:1106.2680},
  year   = {2020}
}

Comments

9 pages [in Russian]

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