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Negative Z-Homogeneous Derivations for Even Parts of Odd Hamiltonian Superalgebras

Negative Z-Homogeneous Derivations for Even Parts of Odd Hamiltonian Superalgebras
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摘要 In this paper we mainly study the negative Z-homogeneous derivations from the even part of the finite-dimensional odd Hamiltonian superalgebra HO into the odd part of generalized Witt superalgebra W over a field of prime characteristic p 〉 3. Using the gener- ating set of 7-EO, by means of calculating actions of derivations on the generating set, we first compute the derivations of Z-degree -1, then determine the derivations of Z-degree less than --1. In this paper we mainly study the negative Z-homogeneous derivations from the even part of the finite-dimensional odd Hamiltonian superalgebra HO into the odd part of generalized Witt superalgebra W over a field of prime characteristic p 〉 3. Using the gener- ating set of 7-EO, by means of calculating actions of derivations on the generating set, we first compute the derivations of Z-degree -1, then determine the derivations of Z-degree less than --1.
出处 《Journal of Mathematical Research with Applications》 CSCD 2013年第3期337-344,共8页 数学研究及应用(英文版)
基金 Supported by the Scientific Research Fund of Heilongjiang Provincial Education Department(GrantNo.12521114) the Science Foundation for Young Scholars,Harbin University of Science and Technology(GrantNo.2011YF006) the National Natural Science Foundation of China(Grant No.11171055) the Natural Science Foundation for Distinguished Young Scholars of Heilongjiang Province(Grant No.JC201004)
关键词 generalized Witt superalgebra odd Hamiltonian superalgebra derivation space. generalized Witt superalgebra odd Hamiltonian superalgebra derivation space.
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