3-Lie algebras realized by cubic matrices-Reference-Cited by-同舟云学术

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3-Lie algebras realized by cubic matrices

Published:2014-03 Issue:2 Volume:35 Page:261-270
ISSN:0252-9599
Container-title:Chinese Annals of Mathematics, Series B
language:en
Short-container-title:Chin. Ann. Math. Ser. B

Author:

Bai Ruipu,Liu Hui,Zhang Meng

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11401-014-0823-2.pdf

Reference5 articles.

1. Kerner, R., The cubic chessboard, arXiv: 0004031v1.

2. Awata, R., Li, M., Minicc, D. and Yoneyad, T., On the quantization of Nambu brackets, J. High Energy Phys., 2001, DOI: 10.1066/1126-6708/2001/02/013.

3. Filippov, V., n-Lie algebras, Sib. Mat. Zh., 26(6), 1985, 126–140.

4. Bai, R., Han, W. and Liu, H., Structures of 2-step nilpotent 3-Lie algebras, Antarctica J. Math., 9(1), 2012, 23–40.

5. Bai, R., Bai, C. and Wang, J., Realizations of 3-Lie algebras, J. Math. Phys., 51, 2010, 063505.

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1. Matrix regularization of classical Nambu brackets and super p-branes;Journal of High Energy Physics;2021-07

2. Traces of ternary relations;International Journal of General Systems;2018-03-13

3. Generalized derivation extensions of 3-Lie algebras and corresponding Nambu–Poisson structures;Journal of Geometry and Physics;2018-01

4. q-Deformations of 3-Lie Algebras;Algebra Colloquium;2017-09

5. Homogeneous Rota–Baxter operators on the $3$-Lie algebra $A_{\omega }$;Colloquium Mathematicum;2017

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