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Original Articles

Heisenberg Lie Color Algebras

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Pages 1782-1795 | Received 12 Sep 2008, Published online: 21 Jun 2011

REFERENCES

  • Bergen , J. , Wilson , M. ( 1999 ). X-inner automorphisms of semi-commutative quantum algebras . J. Algebra 220 : 152 – 173 .
  • Hu , N. , Kassel , C. , Strade , H. ( 2001 ). The theory of the Cartan type q-Lie algebras and noncommutative geometry on the Manin's quantum affine space. Preprint .
  • Jacobson , N. ( 1962 ). Lie Algebras . New York : Wiley Interscience .
  • Jiang , C. , Meng , D. , Zhang , S. ( 1996 ). Some complete Lie algebras . J. Algebra 186 : 807 – 817 .
  • Kac , V. G. ( 1977 ). Lie superalgebras . Adv. Math. 26 : 8 – 96 .
  • Meng , D. , Zhu , L. , Jiang , C. ( 2001 ). The Complete Lie Algebras . Beijing : Science Press (in Chinese) .
  • Passman , D. S. ( 1998 ). Simple Lie color algebras of Witt type . J. Algebra 208 : 698 – 721 .
  • Scheunert , M. ( 1979 ). Generalized Lie algebras . J. Math. Phys. 20 : 712 – 720 .
  • Scheunert , M. ( 1983 ). Graded tensor calculus . J. Math. Phys. 24 : 2658 – 2670 .
  • Sigurdsson , G. , Silvestrov , S. ( 2006 ). Bosonic realizations of the color Heisenberg Lie algebra . J. Nonlinear Math. Phys. 13 : 110 – 128 .
  • Wang , L. , Meng , D. ( 2003 ). Some complete Lie superalgebras . Linear Algebra Appl. 369 : 339 – 349 .
  • Yang , H. ( 2007 ). Holomorph of Lie color algebras . J. Shanghai Maritime Univ. 28 : 92 – 94 .
  • Zhou , J. ( 1997 ). A note on complete color Lie superalgebras . J. Southeast Univ. 13 : 111 – 114 .
  • Zaitsev , M. V. , Segal , S. K. ( 2001 ). Finite gradings of simple artinian rings . Vestnik Moskov. Univ. Ser. I Mat. Mekh. 3 : 21 – 24 .
  • Communicated by K. Misra.

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