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Original Articles

Derivation Algebra Der(H) and Central Extensions of Lie Superalgebras

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Pages 4117-4131 | Received 01 Nov 2002, Published online: 24 Jun 2011

References

  • Farnsteiner , R. 1986 . Central extensions and invariant forms of graded Lie algebras . Algebras, Groups Geometries , 3 : 431 – 455 .
  • Fuchs , D. B. 1986 . Cohomology of Infinite-Dimensional Lie Algebras New York : Kluwer Academic Publishers .
  • Kac , V. G. 1977 . Lie superalgebras . Adv. Math. , 26 : 8 – 96 .
  • Kochetkov , Yu and Leites , D. 1992 . Simple Lie Algebras in Characteristic 2 Recovered from Superalgebras and on the Notion of a Simple Finite Group , Math. 131, Part 2 Providence , RI : American Mathematical Society .
  • L'eites , D. A. 1975 . Cohomology of Lie superalgebras . Funct. Anal. Appl. , 9 : 75 – 79 .
  • Ma , F. M. and Zhang , Q. C. 2000 . The derivation superalgebra of K type Lie superalgebra . J. Math. (China) , 20 ( 4 ) : 431 – 435 .
  • Petrogradski , V. M. 1992 . Identities in the enveloping algebras for modular Lie superalgebras . J. Algebra , 145 : 1 – 21 .
  • Scheunert , M. 1979 . The Theory of Lie Superalgebras Berlin, Heidelberg, New York : Springer-Verlag .
  • Strade , H. and Farnsteiner , R. 1988 . Modular Lie Algebra and Their Representation New York : Marcel Dekker Inc .
  • Tripathy , K. C. and Patra , M. K. 1990 . Cohomology theory and deformations of Z 2-graded Lie algebras . J. Math. Phys. , 31 : 2822 – 2831 .
  • Wang , Y. 2000 . Transitive filtration of Lie superalgebras . J. Harbin Inst. Technol. , 1 ( 7 ) : 74 – 76 .
  • Wang , Y. and Zhang , Y. Z. 2000 . The associative forms of the graded Cartan type Lie superalgebras . Adv. Math. (China) , 29 : 65 – 70 .
  • Zhang , Y. Z. 1997 . Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic . Chin. Sci. Bull. , 42 : 720 – 725 .
  • Zhang , Q. C. and Zhang , Y. Z. 2000 . Derivation algebras of the modular Lie superalgebras W and S of Cartan type . Acta Math. Sci. , 20 ( 1 ) : 137 – 144 .

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