Volume 27, Issue 1
Superderivations for a Family of Lie Superalgebras of Special Type

Commun. Math. Res., 27 (2011), pp. 53-61.

Published online: 2021-05

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• Abstract

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 $p > 3$. In particular, the structure of the outer superderivation algebra is concretely formulated and the dimension of the first cohomology group is given.

• Keywords

divided power algebra, special algebra, superderivation.

17B50, 17B40

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@Article{CMR-27-53, author = {Xiumei and Sun and and 18346 and and Xiumei Sun and Xujuan and Zou and and 18347 and and Xujuan Zou and Wende and Liu and and 18348 and and Wende Liu}, title = {Superderivations for a Family of Lie Superalgebras of Special Type}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {1}, pages = {53--61}, abstract = {

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 $p > 3$. In particular, the structure of the outer superderivation algebra is concretely formulated and the dimension of the first cohomology group is given.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19106.html} }
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 -

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 $p > 3$. In particular, the structure of the outer superderivation algebra is concretely formulated and the dimension of the first cohomology group is given.

Xiumei Sun, Xujuan Zou & Wende Liu. (2021). Superderivations for a Family of Lie Superalgebras of Special Type. Communications in Mathematical Research . 27 (1). 53-61. doi:
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