On ω-Lie superalgebras
2018 ◽
Vol 17
(11)
◽
pp. 1850212
Keyword(s):
Let [Formula: see text] be a finite-dimensional vector space over a field [Formula: see text] of characteristic zero, [Formula: see text] an anti-commutative product on [Formula: see text] and [Formula: see text] a bilinear form on [Formula: see text]. The triple [Formula: see text] is called an [Formula: see text]-Lie algebra if [Formula: see text] (graded [Formula: see text]-Jacobi identity) for all [Formula: see text] In this paper, we introduce the notion of an [Formula: see text]-Lie superalgebra. We study elementary properties and representations of [Formula: see text]-Lie superalgebras. We classify all 3- and 4-dimensional [Formula: see text]-Lie superalgebras over the field of complex numbers.
1997 ◽
Vol 56
(3)
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pp. 483-488
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2009 ◽
Vol 20
(11)
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pp. 1347-1362
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1978 ◽
Vol 30
(6)
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pp. 1228-1242
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1988 ◽
Vol 112
◽
pp. 153-169
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1982 ◽
Vol 25
(2)
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pp. 133-139
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1995 ◽
Vol 138
◽
pp. 113-140
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