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

Xiumei Sun, Xujuan Zou & Wende Liu

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.

  • AMS Subject Headings

17B50, 17B40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-53, author = {Sun , XiumeiZou , Xujuan and Liu , Wende}, 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.

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