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《Journal of Harbin University of Science and Technology》 2013-01
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Nonnegative Z-homogeneous Derivations for Even Parts of Odd Hamiltonian Lie Superalgebras

HUA Xiu-ying1,LIU Wen-de2(1.School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China; 2.School of Mathematical Sciences,Harbin Normal University,Harbin 150025,China)  
Aiming at the question of the Nonnegative Z-homogeneous derivations from the even part of the finite-dimensional odd Hamiltonian Lie superalgebras HO into the odd part of generalized Witt Lie superalgebras W over a field of characteristic p3,we prove the derivations is zero,if actions equal to zero of derivations on the bottom by means of calculating actions of derivations on the generator set of the even part of HO and the parity of degree of derivations.Furtherly,we obtain the derivations with nonnegative Z-degree from the even part of HO into the odd part of W.
【Fund】: 黑龙江省教育厅科学技术研究项目(12521114)
【CateGory Index】: O152.5
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 GUAN Bao-ling1,LIU Wen-de2,HE Lan3(1.College of Sciences,Qiqihar University,Qiqihar 161006,China; 2.School of Mathematical Science,Harbin Normal University,Harbin 150025,China; 3.Basic Medical College,Qiqihar College,Qiqihar 161006,China);Derivations with negative degrees for the even part of the Contact Lie superalgebra[J];Journal of Natural Science of Heilongjiang University;2010-02
2 LIU Wende~1 SU Yucai~2 ZHANG Yongzheng~3 1 School of Mathematical Sciences,Harbin Normal University,Harbin 150025, China. 2 Department of Mathematics,University of Science and Technology of China, Hefei 230026,China. 3 Department of Mathematics,Northeast Normal University,Changchun 130024, China.;Even Parts of Hamiltonian Superalgebras in Prime Characteristic[J];Chinese Annals of Mathematics;2010-05
3 GUAN Bao-ling1, LIU Wen-de2(1.College of Sciences, Qiqihar University.Qiqihar 161006, China)(2.Dept. of Math., Harbin Normal University, Harbin 150080, China);THE GENERATING SET OF EVEN PART OF CONTACT LIE SUPERALGEBRA AND ITS APPLICATION[J];Journal of Mathematics;2008-04
4 ZOU Xu-juan1,2,LIU Wen-de1(1.School of Mathematical Sciences,Harbin Normal University,Harbin 150025,China)(2.Daqing Dongfeng Middle School,Daqing 163311,China);SUPERDERIVATION ALGEBRAS FOR A FAMILY OF LIE SUPERALGEBRAS OF WITT TYPE[J];Journal of Mathematics;2011-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zhen-Su She Zhi-Xiong Zhang State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, 100871 Beijing, China;Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems[J];力学学报(英文版);2009-03
2 SUN XIU-MEI,ZOU XU-JUAN AND LIU WEN-DE (School of Mathematical Sciences,Harbin Normal University,Harbin,150025);Superderivations for a Family of Lie Superalgebras of Special Type[J];数学研究通讯(英文版);2011-01
3 Wen De LIU~(1))School of Mathematical Sciences, Harbin Normal University, Harbin 150025, P. R. China Xiu Ying HUADepartment of Applied Mathematics, Harbin University of Science and TechnologyHarbin 150080, P. R. ChinaYu Cai SU~(2))Department of Mathematics, University of Science and Technology of China,Hefei 230026, P. R. China;Derivations of the Even Part of the Odd Hamiltonian Superalgebra in Modular Case[J];数学学报(英文版);2009-03
4 GUAN Bao-ling1,LIU Wen-de2,HE Lan3(1.College of Sciences,Qiqihar University,Qiqihar 161006,China; 2.School of Mathematical Science,Harbin Normal University,Harbin 150025,China; 3.Basic Medical College,Qiqihar College,Qiqihar 161006,China);Derivations with negative degrees for the even part of the Contact Lie superalgebra[J];Journal of Natural Science of Heilongjiang University;2010-02
5 MU Qiang1,2 & ZHANG YongZheng1,1School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China;2School of Mathematics,Harbin Normal University,Harbin 150025,China;Infinite-dimensional Hamiltonian Lie superalgebras[J];中国科学:数学(英文版);2010-06
6 TANG Li-ming1,LIU Wen-de1,LIANG Yan2(1.School of Mathematical Sciences,Harbin Normal University,Harbin 150025,China;2.Daqing Higher New District Middle School,Daqing 163319,China);Superderivation algebras for a family of Lie superalgebras of contact type[J];Journal of Natural Science of Heilongjiang University;2012-06
7 LIU Wende~1 SU Yucai~2 ZHANG Yongzheng~3 1 School of Mathematical Sciences,Harbin Normal University,Harbin 150025, China. 2 Department of Mathematics,University of Science and Technology of China, Hefei 230026,China. 3 Department of Mathematics,Northeast Normal University,Changchun 130024, China.;Even Parts of Hamiltonian Superalgebras in Prime Characteristic[J];Chinese Annals of Mathematics;2010-05
8 Wen De LIU School of Mathematical Sciences,Harbin Normal University, Harbin 150025,P.R.China Wei Qiang LIN Department of Mathematics,Zhangzhou Normal University,Zhangzhou 363000,P.R.China Bin LI School of Mathematical Sciences,Harbin Normal University, Harbin 150025,P.R.China;Restricted Representations of Restricted Lie Superalgebras[J];Acta Mathematica Sinica;2010-03
9 ZOU Xu-juan1,2,LIU Wen-de1(1.School of Mathematical Sciences,Harbin Normal University,Harbin 150025,China)(2.Daqing Dongfeng Middle School,Daqing 163311,China);SUPERDERIVATION ALGEBRAS FOR A FAMILY OF LIE SUPERALGEBRAS OF WITT TYPE[J];Journal of Mathematics;2011-03
10 GUAN Bao-ling1,LIU Wen-de2(1.College of Sciences,Qiqihar University,Qiqihar 161006,China)(2.School of Mathematical Science,Harbin Normal University,Harbin 150025,China);DERIVATIONS OF THE EVEN PART INTO THE ODD PART FOR MODULAR CONTACT SUPERALGEBRA[J];Journal of Mathematics;2012-03
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 Wen-de LIU~(1+) Yong-zheng ZHANG~2 ~1 Department of Mathematics,Harbin Normal University,Harbin 150080,China;~2 Department of Mathematics,Northeast Normal University,Changchun 130024,China;A family of transitive modular Lie superalgebras with depth one[J];中国科学(A辑:数学)(英文版);2007-10
2 WU Xian-feng(Department of Mathematics,Qiqihar University,Qiqihar 161006,Heilongjiang Province,China);Classification of Low Dimensional Lie Supertriple Systems[J];Journal of Jilin University(Science Edition);2009-04
3 ZHANG YongzhengDepartment of Mathematics, Northeast Normal University, Changchun, 130024, China;Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic[J];科学通报(英文版);1997-09
4 Zhang Qingcheng (Department of Mathematics, Jilin Vocational Teacher's College, Changchun 130052, China)Zhang Yongzheng (Department of Mathematics, Northeast Normal University, Changchun 130024, China);DERIVATION ALGEBRAS OF THE MODULAR LIE SUPERALGEBRAS W AND S OF CARTAN-TYPE[J];数学物理学报(英文版);2000-01
5 MA Feng min (Xingtai Teachers college,Xingtai 054001) ZHANG Qing cheng(张庆成) (Jilin Vocational Teachers College,Changchun 130052);THE DERIVATION ALGEBRAS OF THE MODULAR LIE SUPERALGEBRASK-TYPE[J];Journal of Mathematics;2000-04
6 GUAN Bao-ling1, LIU Wen-de2(1.College of Sciences, Qiqihar University.Qiqihar 161006, China)(2.Dept. of Math., Harbin Normal University, Harbin 150080, China);THE GENERATING SET OF EVEN PART OF CONTACT LIE SUPERALGEBRA AND ITS APPLICATION[J];Journal of Mathematics;2008-04
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