Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (4): 82-91.

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On cohomology of modular Lie superalgebras

ZHENG Li-sun   

  1. Department of Mathematics, East China Normal University,\; Shanghai} 200062, {\it China
  • Received:2008-09-12 Revised:2009-01-12 Online:2009-07-25 Published:2009-07-25
  • Contact: ZHENG Li-sun

Abstract: A result on vanishing cohomology for finite-dimensional modular Lie
superalgebras was obtained, with aid of the approach provided by Dzhumadil’daev for
modular Lie algebras. Some examples are given as demonstration of the vanishing result,
as well as its applications.

Key words: cohomology of Lie superalgebra, $p$-polynomial, restricted Lie superalgebra, cohomology of Lie superalgebra, $p$-polynomial

CLC Number: