Superderivations for a Family of Lie Superalgebras of Special Type

Superderivations for a Family of Lie Superalgebras of Special Type

Year:    2011

Author:    Xiumei Sun, Xujuan Zou, Wende Liu

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19106

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 53–61

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    divided power algebra special algebra superderivation.

Author Details

Xiumei Sun

Xujuan Zou

Wende Liu