2013
DOI: 10.1134/s0037446613020134
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Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0

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Cited by 10 publications
(26 citation statements)
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“…Denote this algebra by D t (α, β, γ). Putting t = −1, we obtain the superlagebra M 1,1 (α, β, γ), and putting t = −2, we obtain the superalgebra osp(1, 2)(α, β, γ) (see [29]). Putting α = 1/2, β = γ = 0, we obtain a Jordan superalgebra D t .…”
Section: 6mentioning
confidence: 99%
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“…Denote this algebra by D t (α, β, γ). Putting t = −1, we obtain the superlagebra M 1,1 (α, β, γ), and putting t = −2, we obtain the superalgebra osp(1, 2)(α, β, γ) (see [29]). Putting α = 1/2, β = γ = 0, we obtain a Jordan superalgebra D t .…”
Section: 6mentioning
confidence: 99%
“…Analogously to the examples described above, Pozhidaev and Shestakov calculated all possible generic Poisson brackets on simple Jordan superalgebras in the case of characteristic 0, concluding the classification in the case of degree ≥ 2. We provide it here: 29]). Let U be a simple noncommutative central Jordan superalgebra over a field F of characteristic zero.…”
Section: 6mentioning
confidence: 99%
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