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Original Articles

Classification of nilpotent lie algebras of dimension nine whose maximum abelian ideal is of dimension seven

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Pages 5-28 | Received 25 Mar 1999, Accepted 19 May 1999, Published online: 19 Mar 2007

References

  • Beck , R. E. , Kolman , B. and Stewart , I. N. 1997 . Computers in Non-associative Rings and Algebras , Edited by: Beck , R. E. and Kolman , B. 167 – 167 . New York : Academic Press .
  • Bourbaki , N. 1975 . “ Chaps. 7-8 ” . In Groupes et Algèbres de Lie , Paris : Hermann .
  • Humphrey , J. 1970 . Introduction to Lie algebras and representation theory , New York : Springer-Verlag . Berlin-Heidelberg
  • Knuth , D. E. 1981 . The Art of Computer Programming , Vol. 2 , Reading, MA : Adddison-Wesley .
  • Malcev , I. 1962 . Solvable Lie algebras . Am. Math. Soc. Trans. , 1 ( 9 ) : 228 – 262 .
  • Morozov , V. 1958 . Classification of Nilpotent Lie Algebras of 6th order . Izvestia Vyssih Vabnyh Zavedenii Mathematika , 4 ( 5 ) : 161 – 171 .
  • Safiulina , E. N. 1964 . “ Classification of Nilpotent Lie Algebras of dimension seven ” . In Math. Mech. Phys. , Vol. 66 , 66 – 69 . Kazam : Izdat Kazam Univ. .
  • Wirth , N. 1986 . Algorithms and Data Structures = Programs , Prentice-Hall .

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