J. Korean Math. Soc. 2013; 50(3): 591-605
Printed May 1, 2013
https://doi.org/10.4134/JKMS.2013.50.3.591
Copyright © The Korean Mathematical Society.
Yan Cao, Xiumei Sun, and Jixia Yuan
Harbin University of Science and Technology, Harbin Normal University, Heilongjiang University
The underlying field is of characteristic $p>2$. In this paper, we first use the method of computing the homogeneous derivations to determine the first cohomology of the so-called odd contact Lie algebra with coefficients in the even part of the generalized Witt Lie superalgebra. In particular, we give a generating set for the Lie algebra under consideration. Finally, as an application, the derivation algebra and outer derivation algebra of the Lie algebra are completely determined.
Keywords: Lie superalgebra, derivation, first cohomology
MSC numbers: 17B50, 17B40
2017; 54(2): 685-696
1998; 35(3): 559-574
2003; 40(2): 307-317
2010; 47(3): 495-504
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd