Simple Filippov superalgebras of type B(m, n) |
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Authors: | A P Pozhidaev |
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Institution: | (1) Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia |
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Abstract: | This account is a first step toward a classification of finite-dimensional simple Filippov superalgebras over an algebraically
closed field of characteristic 0. Here, n-ary Filippov superalgebras with nonzero even and odd parts are treated for the case
n ⩾ 3.
Supported by RFBR (grant No. 05-01-00230) and by SB RAS (Integration project No. 1.9 and Young Researchers Support grant No.
29).
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Translated from Algebra i Logika, Vol. 47, No. 2, pp. 240–261, March–April, 2008. |
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Keywords: | Filippov superalgebra algebraically closed field of characteristic 0 |
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