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Communications in Algebra Volume 25, 1997 - Issue 9
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Original Articles

Lie algebras admitting a unique quadratic structure

Ignacio Bajo Dept. Matemática Aplicada, E.T.S.I. Industrials, Universidad de Vigo, Lagoas-Marcosende, 36280, Vigo (Spain) E-mail: [email protected]View further author information
&
Said Benayadi Dept. Mathematique, Universite de Metz, He du saulcy, 57045, Metz cedex (France) E-mail: [email protected]
Pages 2795-2805 | Received 01 Aug 1996, Published online: 27 Jun 2007

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P. Benito & J. Roldán-López. (2023) Metrics related to oscillator algebras. Linear and Multilinear Algebra 0:0, pages 1-15.
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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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Yidong Jin, Wenli Liu & Zhixue Zhang. (2011) Metric n-Lie Algebras. Communications in Algebra 39:2, pages 572-583.
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PASHA ZUSMANOVICH. (2010) INVARIANTS OF LIE ALGEBRAS EXTENDED OVER COMMUTATIVE ALGEBRAS WITHOUT UNIT. Journal of Nonlinear Mathematical Physics 17:sup1, pages 87-102.
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Z. X. Zhang, Y. Q. Shi & L. N. Zhao. (2002) INVARIANT SYMMETRIC BILINEAR FORMS ON LIE TRIPLE SYSTEMS. Communications in Algebra 30:11, pages 5563-5573.
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Linsheng Zhu & Daoji Meng. (2001) QUADRATIC LIE ALGEBRAS AND COMMUTATIVE ASSOCIATIVE ALGEBRAS. Communications in Algebra 29:5, pages 2249-2268.
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Articles from other publishers (10)

Amir Baklouti & Samiha Hidri. (2022) Tools to specify semi-simple Jordan triple systems. Differential Geometry and its Applications 83, pages 101900.
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Amir Baklouti & Samiha Hidri. 2020. Computational Mathematics and Applications. Computational Mathematics and Applications 65 93 .
D. A. Rumynin. (2013) Lie algebras in symmetric monoidal categories. Siberian Mathematical Journal 54:5, pages 905-921.
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M. E. Goncharov & V. N. Zhelyabin. (2013) Embedding Mal’tsev Coalgebras into Lie Coalgebras with Triality. Algebra and Logic 52:1, pages 24-40.
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Minh Thanh Duong, Georges Pinczon & Rosane Ushirobira. (2011) A New Invariant of Quadratic Lie Algebras. Algebras and Representation Theory 15:6, pages 1163-1203.
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Yidong Jin, Wenli Liu & Zhixue Zhang. (2009) Real simple n -Lie algebras admitting metric structures . Journal of Physics A: Mathematical and Theoretical 42:48, pages 485206.
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Ignacio Bajo & Saïd Benayadi. (2007) Lie algebras with quadratic dimension equal to 2. Journal of Pure and Applied Algebra 209:3, pages 725-737.
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LINA ZHAO, XUEWEN LI & ZHIXUE ZHANG. (2005) NON-DEGENERATE INVARIANT BILINEAR FORMS ON NONASSOCIATIVE TRIPLE SYSTEMS. Chinese Annals of Mathematics 26:02, pages 275-290.
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Saïd Benayadi. (2003) Socle and some invariants of quadratic Lie superalgebras. Journal of Algebra 261:2, pages 245-291.
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Saı̈d Benayadi. (2000) Quadratic Lie Superalgebras with the Completely Reducible Action of the Even Part on the Odd Part. Journal of Algebra 223:1, pages 344-366.
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