TY - JOUR
T1 - Superderivations for a Family of Lie Superalgebras of Special Type
AU - Sun , Xiumei
AU - Zou , Xujuan
AU - Liu , Wende
JO - Communications in Mathematical Research 
VL - 1
SP - 53
EP - 61
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19106.html
KW - divided power algebra, special algebra, superderivation.
AB - <p style="text-align: justify;">By means of generators, superderivations are completely determined for
a family of Lie superalgebras of Special type, the tensor products of the exterior
algebras and the finite-dimensional Special Lie algebras over a field of characteristic $p &gt; 3$. In particular, the structure of the outer superderivation algebra is concretely
formulated and the dimension of the first cohomology group is given.</p>