Geodesic
Derivations from the Even Parts into the Odd Parts for Lie Superalgebras W and S
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 449-468
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\def\Z{{\mathbb Z}\,} \def\Der{\mathop{\rm Der\,}\nolimits} Let $\cal W$ and $\cal S$ denote the even parts of the generalized Witt superalgebra $W$ and the special superalgebra $S$ over a field of characteristic $p>3$, respectively. In this note, using the method of reduction on $\Z$-gradations, we determine the derivation space $\Der( {\cal W}, W_{\overline1})$ from $\cal W$ into $W_{\overline1}$ and the derivation space $\Der({\cal S}, W_{\overline1})$ from $\cal S$ into $W_{\overline1}$. In particular, the derivation space $\Der({\cal S}, S_{\overline1})$ is determined.
Classification : 17B50, 17B40
Mots-clés : Generalized Witt superalgebra, special superalgebra, derivation space, canonical torus 
@article{JLT_2007_17_3_JLT_2007_17_3_a0,
     author = {W. Liu and B. Guan},
     title = {Derivations from the {Even} {Parts} into the {Odd} {Parts} for {Lie} {Superalgebras} {W} and {S}},
     journal = {Journal of Lie theory},
     pages = {449--468},
     year = {2007},
     volume = {17},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a0/}
}
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W. Liu; B. Guan. Derivations from the Even Parts into the Odd Parts for Lie Superalgebras W and S. Journal of Lie theory, Tome 17 (2007) no. 3, pp. 449-468. http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a0/