| COHOMOLOGY OF GRADED LIE ALGEBRAS OF CARTAN TYPE S (n, m) |
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| 作者姓名： | Qiu Sen |
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| 作者单位： | Departement of |
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| 基金项目： | Supported by the Science Fund of the Chinese Academy of Sciences 842106. |
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| 摘 要： | Let F be an algebraically closed field of characteristic p>3. This paper studies the cohomology of graded Lie algebras S(n,m) of Cartan type over F. The author determines the structures of H~1(S(3,m), _0), where _0 is the graded S(3,m)-module which is induced by an irreducible sl (3)-module V_0, the structures of H~1(S(3,m), V), where V is an irreducible S(3,m)-module, and the structures of the restricted cohomology H_*~1(S(3,(1, 1, 1)), V), where V is an irreducible restricted S(3, (1, 1, 1))-module.
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| 收稿时间： | 1986/9/30 0:00:00 |
COHOMOLOGY OF GRADED LIE ALGEBRAS
OF CARTAN TYPE $S(n,m)$ |
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| Qiu Sen.COHOMOLOGY OF GRADED LIE ALGEBRAS OF CARTAN TYPE S (n, m)[J].Chinese Annals of Mathematics,Series B,1989,10(1):105-114. |
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| Authors: | Qiu Sen |
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| Institution: | Departement of Mathematics, East China Normal University, Shanghai, China. |
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| Abstract: | |
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