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Original Articles

Commuting Derivations and Automorphisms of Certain Nilpotent Lie Algebras Over Commutative Rings

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Pages 2044-2061 | Received 01 Jul 2013, Published online: 27 Feb 2015

REFERENCES

  • Brešar , M. ( 2004 ). Commuting maps: A survey . Taiwanese J. Math. 8 : 361 – 397 .
  • Brešar , M. , Miers , C. R. ( 1995 ). Commuting maps on Lie ideals . Comm. Algebra 23 : 5539 – 5553 .
  • Cao , Y. A. , Jiang , D. Z. , Wang , J. T. ( 2007 ). Automorphisms of certain nilpotent Lie algebras over commutative rings . International J. Alge. Comput. 17 : 527 – 555 .
  • Chen , Z. X. , Wang , D. Y. ( 2011 ). Derivations of certain nilpotent Lie algebras over commutative rings . Comm. Algebra 39 : 3736 – 3752 .
  • Cheung , W. S. ( 2001 ). Commuting maps of triangular algebras . J. London Math. Soc. 63 : 117 – 127 .
  • Divinsky , N. ( 1955 ). On commuting automorphisms of rings . Trans. Roy. Soc. Canada. Sect. III 49 : 19 – 22 .
  • Gibbs , J. A. ( 1970 ). Automorphisms of certain unipotent groups . J. Algebra 14 : 203 – 228 .
  • Humphreys , J. E. ( 1972 ). Introduction to Lie Algebras And Representation Theory . New York : Springer .
  • Wang , D. Y. , Yu , X. X. , Chen , Z. X. ( 2011 ). Biderivations of the parabolic subalgebras of simple Lie algebras . Comm. Algebra 39 : 4097 – 4104 .
  • Wang , D. Y. , Yu , X. X. ( 2013 ). Biderivations and linear commuting maps on the Schrödinger-Virasoro Lie algebra . Comm. Algebra 41 : 2166 – 2173 .
  • Communicated by M. Bresar.

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