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Communications in Algebra Volume 30, 2002 - Issue 2
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Original Articles

2-COCYCLES ON THE LIE ALGEBRAS OF GENERALIZED DIFFERENTIAL OPERATORS

Yucai Su Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai, 200030, China
Pages 763-782 | Received 01 Jul 2000, Published online: 07 Sep 2017

Citations (19)

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Read on this site (4)

Henan Wu, Song Wang & Xiaoqing Yue. (2014) Structures of Generalized Loop Virasoro Algebras. Communications in Algebra 42:4, pages 1545-1558.
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Junbo Li. (2012) 2-Cocycles of Twisted Deformative Schrödinger–Virasoro Algebras. Communications in Algebra 40:6, pages 1933-1950.
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Guang'ai Song & Yucai Su. (2005) 2-Cocycles of the Lie Superalgebras of Weyl Type. Communications in Algebra 33:9, pages 2991-3007.
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Yucai Su & Kaiming Zhao. (2004) Structure of Algebras of Weyl Type. Communications in Algebra 32:3, pages 1051-1059.
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Articles from other publishers (15)

Haibo Chen, Guangzhe Fan, Jianzhi Han & Yucai Su. (2018) Structures of Generalized Loop Schrödinger–Virasoro algebras. Mediterranean Journal of Mathematics 15:3.
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Guang Zhe Fan, Chen Hong Zhou & Xiao Qing Yue. (2015) Structures of not-finitely graded Lie algebras related to generalized Heisenberg–Virasoro algebras. Acta Mathematica Sinica, English Series 31:10, pages 1517-1530.
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Xiansheng Dai, Jianzhi Han & Yucai Su. (2015) Structures of generalized loop super-Virasoro algebras. International Journal of Mathematics 26:07, pages 1550041.
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Chunguang Xia & Wei Wang. (2013) Derivations and Automorphisms of a Lie Algebra of Block Type. Algebra Colloquium 20:01, pages 173-180.
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Wei Wang, Yongping Wu & Chunguang Xia. (2011) Second cohomology group of extended W-algebras. Frontiers of Mathematics in China 6:4, pages 745-758.
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Yongsheng Cheng & Hengyun Yang. (2010) Low-dimensional cohomology of q-deformed Heisenberg-Virasoro algebra of Hom-type. Frontiers of Mathematics in China 5:4, pages 607-622.
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Xiaoqing Yue, Qifen Jiang & Bin Xin. (2012) Quantization of Lie Algebras of Generalized Weyl Type. Algebra Colloquium 16:03, pages 437-448.
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Bin Xin & Yuezhu Wu. (2012) Generalized Verma Modules over Lie Algebras of Weyl Type. Algebra Colloquium 16:01, pages 131-142.
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JunBo Li, YuCai Su & LinSheng Zhu. (2008) 2-Cocycles of original deformative Schrödinger-Virasoro algebras. Science in China Series A: Mathematics 51:11, pages 1989-1999.
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Yucai Su & Bin Xin. (2006) Classification of quasifinite $$\mathcal{W}_\infty $$ -modules-modules. Israel Journal of Mathematics 151:1, pages 223-236.
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Jonas T. Hartwig, Daniel Larsson & Sergei D. Silvestrov. (2006) Deformations of Lie algebras using σ-derivations. Journal of Algebra 295:2, pages 314-361.
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Daniel Larsson & Sergei D. Silvestrov. (2005) Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities. Journal of Algebra 288:2, pages 321-344.
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Yucai Su. (2004) Low dimensional cohomology of general conformal algebras gcN. Journal of Mathematical Physics 45:1, pages 509-524.
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Yucai Su. (2018) Poisson Brackets and Structure of Nongraded Hamiltonian Lie Algebras Related to Locally-Finite Derivations. Canadian Journal of Mathematics 55:4, pages 856-896.
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Yucai Su. (2003) Classification of quasifinite modules over the Lie algebras of Weyl type. Advances in Mathematics 174:1, pages 57-68.
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