The main result of this paper is that every derivation of the finite-dimensional simple modular Lie superalgebra S（n） is inner, and S（n） has no nonsingular associative form.
基金Supported by the Tianyuan Fund for Mathematics （No. 11126051）, the Heilongjiang Provincial Natural Science Foundation of China （No. A201008）, the Scientific Research Fund of Heilongjiang Provincial Education Department （No. 12511157）, and the Doctoral Fund of Harbin Normal University （No. KJB201105）. This paper was completed when the second author visited the College of William and Mary, and he thanks the university and Professor Junping Shi for warm hospitality.
文摘The main result of this paper is that every derivation of the finite-dimensional simple modular Lie superalgebra S（n） is inner, and S（n） has no nonsingular associative form.
