Derivations for even part of finite-dimensional modular Lie superalgebra (Omega)over-tilde

作者：Wei, Zhu; Zhang, Yongzheng^*

来源：Frontiers of Mathematics in China, 2012, 7(6): 1169-1194.

DOI：10.1007/s11464-012-0234-1

• Modular Lie superalgebra
• derivation algebra
• torus

Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601-3619] constructed a new family of finite-dimensional modular Lie superalgebra (Omega) over tilde. Let Omega denote the even part of the Lie superalgebra (Omega) over tilde. We first give the generator sets of the Lie algebra Omega. Then, we reduce the derivation of Omega to a certain form. With the reduced derivation and a torus of Omega, we determine the derivation algebra of Omega.

• 出版日期2012-12
• 单位东北师范大学