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ABSTRACT
The finite-dimensional odd contact Lie superalgebras KO(n, n + 1,
t
) over a field of prime characteristic are studied, where n is a positive integer and t is an n-tuple of non-negative integers. In particular, it is proven that KO(n, n + 1,
t
) is simple and has no non-singular associative bilinear forms. Moreover, an explicit description of the derivation superalgebra of KO(n, n + 1,
t
) is given, and as a consequence it is shown that the outer derivation superalgebra of KO(n, n + 1,
t
) is Abelian of dimension .
Communicated by K. Misra.
ACKNOWLEDGMENT
We are grateful to the referee for invaluable comments and suggestions. Research supported in part by NSF of China (No. 10271076).
