Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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DERIVATIONS OF THE ODD CONTACT LIE ALGEBRAS IN PRIME CHARACTERISTIC

  • Cao, Yan (College of Rongcheng Harbin University of Science and Technology) ;
  • Sun, Xiumei (School of Mathematical Sciences Harbin Normal University) ;
  • Yuan, Jixia (School of Mathematical Sciences Heilongjiang University)
  • Received : 2012.08.25
  • Published : 2013.05.01
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Abstract

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.

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References

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