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A Note on the Cartan Type Lie Superalgebra S(n) over a Field of Positive Characteristic 被引量:1

A Note on the Cartan Type Lie Superalgebra S(n) over a Field of Positive Characteristic
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摘要 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. 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.
作者 Li Ren Qiang Mu
出处 《Algebra Colloquium》 SCIE CSCD 2014年第3期521-526,共6页 代数集刊(英文版)
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.
关键词 modular Lie superalgebra simple Lie superalgebra DERIVATION associativeform modular Lie superalgebra, simple Lie superalgebra, derivation, associativeform
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