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Original Articles

Module extensions of 3-Lie algebras

, , &
Pages 433-447 | Received 18 Jan 2011, Accepted 05 Jul 2011, Published online: 25 Aug 2011

References

  • Awata , H , Li , M , Minic , D and Yoneya , T . 2001 . On the quantization of Nambu brackets . J. High Energy Phys. , 2 : 013
  • Bagger , J and Lambert , N . 2008 . Gauge symmetry and supersymmetry of multiple M2-branes . Phys. Rev. D , 77 : 065008
  • Bai , R , Bai , C and Wang , J . 2010 . Realizations of 3-Lie algebras . J. Math. Phys. , 51 : 063505
  • Bai , R , Shen , C and Zhang , Y . 2009 . 3-Lie algebras with an ideal N . Linear Algebra Appl. , 431 : 673 – 700 .
  • Bai , R , Shen , C and Zhang , Y . 2010 . Solvable 3-Lie algebras with a maximal Hypo-nilpotent ideal N . Electron. J. Linear Algebra , 21 : 43 – 62 .
  • Bai , R , Wu , W and Chen , Z . 2010 . Isotropic ideals of metric n-Lie algebras. , Available at arXiv, math-PH/10070513
  • Bai , R , Wu , W and Li , Z . 2011 . Some properties of metric n-Lie algebras . Acta Math. Sin. (Engl. Ser.) ,
  • Bajo , I , Benayadi , S and Medina , A . 2007 . Symplectic structures on quadratic Lie algebras . J. Algebra , 316 : 174 – 188 .
  • Bordemann , M . 1997 . Nondegenerate invariant bilinear forms on nonassociative algebras . Acta Math. Univ. Comenianae , LXVI : 151 – 201 .
  • Chebotar , MA and Ke , W-K . 2003 . On skew-symmetric maps on Lie algebras . Proc. R. Soc. Edinb., Sect. A , 133 : 1273 – 1281 .
  • Figueroa-O'Farrill , J . 2008 . Metric Lie n-algebras and double extensions. , Available at arXiv: 0806.3534 [math.RT]
  • Filippov , VT . 1985 . n-Lie algebras . Sib. Mat. Zh. , 26 : 126 – 140 .
  • Gustavsson , A . 2009 . Algebraic structures on parallel M2-branes . Nucl. Phys. B , 811 : 66 – 76 .
  • Ho , P , Hou , R and Matsuo , Y . 2008 . Lie 3-algebra and multiple M2-branes . J. High Energy Phys. , 06 : 020
  • Ho , P , Imamura , Y and Matsuo , Y . 2008 . M2 to D2 revisited . J. High Energy Phys. , 07 : 003
  • Jacobson , N . 1962 . Lie Algebras , New York : Wiley & Sons .
  • Kac , V . 1990 . Infinite Dimensional Lie Algebras, , 3 , Cambridge : Cambridge University Press .
  • Kasymov , S . 1987 . On a theory of n-Lie algebras . Algebra Logika , 26 : 277 – 297 .
  • Lin , J , Wang , Y and Deng , S . 2009 . T*-extension of Lie triple systems . Linear Algebra Appl. , 431 : 2071 – 2083 .
  • Ling , W . 1993 . “ On the structure of n-Lie algebras ” . In Ph.D. diss. , Siegen : University-GHS-Siegen .
  • Papadopoulos , G . 2008 . M2-branes 3-Lie algebras and Plucker relations . J. High Energy Phys. , 05 : 054

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