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Communications in Algebra Volume 32, 2004 - Issue 9
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Original Articles

Representations of Vector Product n-Lie Algebras

A. S. Dzhumadil'daev Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France and Institute of Mathematics, Academy of Sciences of Kazakhstan, S. Demirel University, Almaty, Kazakhstan; S. Demirel University, Toraygirov 19, Almaty, 480043, KazakhstanCorrespondence[email protected]
Pages 3315-3326 | Received 01 Oct 2002, Accepted 01 Jan 2004, Published online: 01 Feb 2007

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Chengyu Du, Chengming Bai & Li Guo. (2018) 3-Lie bialgebras and 3-Lie classical Yang–Baxter equations in low dimensions. Linear and Multilinear Algebra 66:8, pages 1633-1658.
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Zhixue Zhang & Chengming Bai. (2012) The Socle of a Metric n-Lie Algebra. Communications in Algebra 40:3, pages 997-1008.
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Articles from other publishers (15)

Shuai Hou & Yunhe Sheng. (2021) Generalized Reynolds operators on 3-Lie algebras and NS-3-Lie algebras. International Journal of Geometric Methods in Modern Physics 18:14.
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Shuai Hou, Yunhe Sheng & Rong Tang. (2021) Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and -operators . Journal of Geometry and Physics 163, pages 104148.
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Elisabete Barreiro, Ivan Kaygorodov & José M. Sánchez. (2018) k-Modules Over Linear Spaces by n-Linear Maps Admitting a Multiplicative Basis. Algebras and Representation Theory 22:3, pages 615-626.
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Carina Boyallian & Vanesa Meinardi. (2019) Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. Journal of Algebra and Its Applications 18:02, pages 1950036.
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Carina Boyallian & Vanesa Meinardi. (2017) Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W. Journal of Algebra 490, pages 493-517.
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Ruipu Bai & Ying Li. (2014) Extensions of n-Hom Lie algebras. Frontiers of Mathematics in China 10:3, pages 511-522.
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Lu Ding, Xiaoyu Jia & Wei Zhang. (2014) On infinite-dimensional 3-Lie algebras. Journal of Mathematical Physics 55:4.
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Ruipu Bai, Wanqing Wu & Zhiqi Chen. (2013) Classifications of ( n + k )-dimensional metric n -Lie algebras . Journal of Physics A: Mathematical and Theoretical 46:14, pages 145202.
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Dana Bălibanu & Johan van de Leur. (2012) Irreducible highest weight representations of the simple n-Lie algebra. Transformation Groups 17:3, pages 593-613.
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Ruipu Bai & Ying Li. (2011) -Extensions of -Lie Algebras . ISRN Algebra 2011, pages 1-11.
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Tamar Friedmann. (2011) Orbifold singularities, Lie algebras of the third kind (LATKes), and pure Yang–Mills with matter. Journal of Mathematical Physics 52:2.
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Qiaozhi Geng, Mingming Ren & Zhiqi Chen. (2010) Classification of (n+3)-dimensional metric n-Lie algebras. Journal of Mathematical Physics 51:10.
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Nicoletta Cantarini & Victor G. Kac. (2010) Classification of Simple Linearly Compact n-Lie Superalgebras. Communications in Mathematical Physics 298:3, pages 833-853.
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Ruipu Bai, Hongwei An & Zhenheng Li. (2009) Centroid structures of -Lie algebras . Linear Algebra and its Applications 430:1, pages 229-240.
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Rui-pu Bai, Xiao-ling Wang, Wen-ying Xiao & Hong-wei An. (2008) Structure of low dimensional n-Lie algebras over a field of characteristic 2. Linear Algebra and its Applications 428:8-9, pages 1912-1920.
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