129
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

T *-extension of n-Lie algebras

&
Pages 527-542 | Received 23 Nov 2011, Accepted 05 May 2012, Published online: 18 Jun 2012

References

  • Bordemann , M . 1997 . Nondegenerate invariant bilinear forms on nonassociative algebras . Acta. Math. Univ. Comenianae , LXVI : 151 – 201 .
  • Figueroa-O'Farrill , JM . 2008 . Lorentzian Lie n -algebras, J. Math. Phys. , 49 : 113509
  • Figueroa-O'Farrill , JM and Papadopoulos , G . 2004 . Plücker-type relations for orthogonal planes . J. Gem. Phys. , 49 : 294 – 331 .
  • Filippov , VT . 1985 . n-Lie algebras . Sib. Mat. Zh. , 20 : 120 – 140 .
  • Jin , Y , Liu , W and Zhang , Z . 2009 . Real simple n-Lie algebras admitting metric structures . J. Phys. A: Math. Theor. , 42 : 485206 (9pp)
  • Jin , Y , Liu , W and Zhang , Z . 2011 . Metric n-Lie algebras . Commun. Alg. , 39 : 572 – 583 .
  • Kasymov , SM . 1987 . On a theory of n-Lie algebra . Algebras Logic , 26 : 227 – 297 .
  • Ling , WX . On the structure of n-Lie algebras, Ph.D. Thesis, Siegen, 1993
  • Liu , W and Zhang , Z . 2012 . T*-extension of a 3-Lie algebra . Linear Multilinear Algebra , 60 : 583 – 594 .
  • Nambu , Y . 1973 . Generalized Hamiltonian dynamics . Phys. Rev. , D7 : 2405 – 2412 .
  • Rotkiewicz , M . 2003 . Irreducible identities of n-Lie algebras . Acta Math. Univ. Comenianae , LXXII : 23 – 44 .
  • Takhtajan , L . 1994 . On foundation of the generalized Nambu mechanics . Commun. Math. Phys. , 160 : 295 – 315 .
  • Zhang , Z and Bai , C . 2012 . The socle of a metric n-Lie algebra . Commun. Alg. , 40 : 997 – 1008 .
  • Zhao , L , Li , X and Zhang , Z . 2005 . Nondegenerate invariant bilinear forms on nonassociative triple systems . Chin. Ann. Math. , 26 B : 275 – 290 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.