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Communications in Algebra Volume 30, 2002 - Issue 6
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Original Articles

FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA

Yongzheng Zhang Department of Mathematics, Northeast Normal University, Changchun, 130024, ChinaCorrespondence[email protected]
&
Hongchen Fu Department of Physics, Northeast Normal University, Changchun, 130024, China
Pages 2651-2673 | Received 01 Sep 2000, Published online: 01 Sep 2006

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Read on this site (4)

Qiang Mu, Li Ren & Yongzheng Zhang. (2011) Ad-Nilpotent Elements, Isomorphisms, and the Weisfeiler Filtration of Infinite-Dimensional Modular Odd Contact Superalgebras. Communications in Algebra 39:10, pages 3581-3593.
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Wende Liu & Yongzheng Zhang. (2006) Automorphism Groups of Restricted Cartan-Type Lie Superalgebras. Communications in Algebra 34:10, pages 3767-3784.
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Wende Liu & Yongzheng Zhang. (2005) The Outer Derivation Algebras of Finite-Dimensional Cartan-Type Modular Lie Superalgebras. Communications in Algebra 33:7, pages 2131-2146.
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Wende Liu & Yongzheng Zhang. (2004) Infinite-Dimensional Modular Odd Hamiltonian Superalgebras. Communications in Algebra 32:6, pages 2341-2357.
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Articles from other publishers (25)

Keli Zheng & Yongzheng Zhang. (2019) Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras. Open Mathematics 17:1, pages 1381-1391.
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Wende Liu & Jixia Yuan. (2017) Automorphism groups of modular graded Lie superalgebras of Cartan-type. Journal of Algebra and Its Applications 16:03, pages 1750050.
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Lili Ma & Liangyun Chen. (2015) The classification of modular Lie superalgebras of type M. Open Mathematics 13:1.
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Lili Ma & Liangyun Chen. (2015) Derivations of the even part of finite-dimensional simple modular Lie superalgebra $$\mathcal{M}$$. Chinese Annals of Mathematics, Series B 36:2, pages 279-292.
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Li Ren, Qiang Mu & Yongzheng Zhang. (2014) A class of generalized odd Hamiltonian Lie superalgebras. Frontiers of Mathematics in China 9:5, pages 1105-1129.
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Keli Zheng, Yongzheng Zhang & Wei Song. (2014) The natural filtrations of finite-dimensional modular Lie superalgebras of Witt and Hamiltonian type. Pacific Journal of Mathematics 269:1, pages 199-218.
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Qiang Mu. (2014) Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras. Journal of Applied Mathematics 2014, pages 1-9.
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Xiaoning Xu & Liangyun Chen. (2014) Some properties of the family Γ of modular Lie superalgebras. Czechoslovak Mathematical Journal 63:4, pages 1087-1112.
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Lili Ma, Liangyun Chen & Yongzheng Zhang. (2012) Finite-dimensional simple modular Lie superalgebra ℳ. Frontiers of Mathematics in China 8:2, pages 411-441.
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Jixia Yuan & Wende Liu. (2012) Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras. Frontiers of Mathematics in China 8:1, pages 203-216.
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Xiaoning Xu & Bing Mu. (2013) Infinite-Dimensional Modular Lie Superalgebra . Abstract and Applied Analysis 2013, pages 1-10.
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Keli Zheng & Yongzheng Zhang. (2013) The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type. Abstract and Applied Analysis 2013, pages 1-7.
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Zhu Wei & Yongzheng Zhang. (2012) Derivations for even part of finite-dimensional modular Lie superalgebra $\tilde \Omega $. Frontiers of Mathematics in China 7:6, pages 1169-1194.
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Li Ren, Qiang Mu & Yongzheng Zhang. (2012) A Class of Finite-dimensional Lie Superalgebras of Hamiltonian Type. Algebra Colloquium 18:02, pages 347-360.
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Xiaoning Xu, Liangyun Chen & Yongzheng Zhang. (2011) On the modular Lie superalgebra . Journal of Pure and Applied Algebra 215:5, pages 1093-1101.
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Qiang Mu & YongZheng Zhang. (2010) Infinite-dimensional Hamiltonian Lie superalgebras. Science China Mathematics 53:6, pages 1625-1634.
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Qiang Mu & YongZheng Zhang. (2010) Infinite-dimensional Hamiltonian Lie superalgebras. Science China Mathematics.
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WENDE LIU & YINGHUA HE. (2011) FINITE-DIMENSIONAL SPECIAL ODD HAMILTONIAN SUPERALGEBRAS IN PRIME CHARACTERISTIC. Communications in Contemporary Mathematics 11:04, pages 523-546.
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Wenjuan Xie & Yongzheng Zhang. (2012) Second Cohomology of the Modular Lie Superalgebra of Cartan Type K. Algebra Colloquium 16:02, pages 309-324.
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Yongzheng Zhang & Qingcheng Zhang. (2009) The finite-dimensional modular Lie superalgebra Ω. Journal of Algebra 321:12, pages 3601-3619.
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Liang Yun Chen, Dao Ji Meng & Yong Zheng Zhang. (2006) The Frattini Subalgebra of Restricted Lie Superalgebras. Acta Mathematica Sinica, English Series 22:5, pages 1343-1356.
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Yongzheng Zhang & Wende Liu. (2012) Infinite-dimensional Modular Lie Superalgebras W and S of Cartan Type. Algebra Colloquium 13:02, pages 197-210.
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LIANGYUN CHEN & DAOJI MENG. (2005) ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS. Chinese Annals of Mathematics 26:04, pages 523-536.
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Wende Liu & Yongzheng Zhang. (2009) Finite-dimensional odd Hamiltonian superalgebras over a field of prime characteristic. Journal of the Australian Mathematical Society 79:1, pages 113-130.
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Wende Liu, Yongzheng Zhang & Xiuling Wang. (2004) The derivation algebra of the Cartan-type Lie superalgebra HO. Journal of Algebra 273:1, pages 176-205.
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