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ISRN Algebra
Volume 2011 (2011), Article ID 381875, 11 pages
doi:10.5402/2011/381875
Research Article
-Extensions of -Lie Algebras
College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
Received 28 May 2011; Accepted 6 July 2011
Academic Editors: W. de Graaf and A. Zimmermann
Copyright © 2011 Ruipu Bai and Ying Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- Y. Nambu, βGeneralized Hamiltonian dynamics,β Physical Review D, vol. 7, pp. 2405β2412, 1973. View at Zentralblatt MATH
- L. Takhtajan, βOn foundation of the generalized Nambu mechanics,β Communications in Mathematical Physics, vol. 160, no. 2, pp. 295β315, 1994. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- J. Bagger and N. Lambert, βGauge symmetry and supersymmetry of multiple M2-branes,β Physical Review D, vol. 77, no. 6, Article ID 065008, 2008.
- P.-M. Ho, R.-C. Hou, and Y. Matsuo, βLie 3-algebra and multiple M2-branes,β Journal of High Energy Physics A, no. 6, 2008. View at Publisher Β· View at Google Scholar
- G. Papadopoulos, βM2-branes, 3-Lie algebras and Plücker relations,β Journal of High Energy Physics A, no. 5, 2008. View at Publisher Β· View at Google Scholar
- V. T. Filippov, βn—Lie algebras,β Sibirskiĭ Matematicheskiĭ Zhurnal, vol. 26, no. 6, pp. 126β140, 1985. View at Zentralblatt MATH
- S. Kasymov, βOn a theory of n-Lie algebras,β Algebra i Logika, vol. 26, no. 3, pp. 277β297, 1987.
- W. Ling, On the structure of n—Lie algebras, Dissertation, University-GHS-Siegen, Siegen, Germany, 1993.
- J. Azcárraga and J. Izquierdo, βn-ary algebras: a review with applications,β Journal of Physics A, vol. 43, Article ID 293001, 2010. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- A. Pozhidaev, βRepresentations of vector product n-Lie algebras,β Communications in Algebra, vol. 32, no. 9, pp. 3315β3326, 2004.
- M. Goze, N. Goze, and E. Remm, βn—Lie algebras,β African Journal of Mathematical Physics, vol. 8, no. 1, pp. 17β28, 2010. View at Zentralblatt MATH
- R. Bai, C. Bai, and J. Wang, βRealizations of 3-Lie algebras,β Journal of Mathematical Physics, vol. 51, no. 6, Article ID 063505, 2010. View at Publisher Β· View at Google Scholar
- R. Bai, C. Shen, and Y. Zhang, β3-Lie algebras with an ideal N,β Linear Algebra and its Applications, vol. 431, no. 5–7, pp. 673β700, 2009. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- R. Bai and G. Song, βThe classification of six-dimensional 4-Lie algebras,β Journal of Physics A, vol. 42, no. 3, Article ID 035207, 2009. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- M. Bordemann, βNondegenerate invariant bilinear forms on nonassociative algebras,β Acta Mathematica Universitatis Comenianae, vol. 66, no. 2, pp. 151β201, 1997. View at Zentralblatt MATH
- J. Figueroa-O'Farrill, βMetric Lie n-algebras and double extensions,β arXiv: 0806.3534.
- R. Bai, W. Wu, and Y. Li, βModule extensions of 3-Lie algebras,β Linear and Multilinear Algebra, 2011. In press.