92
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Characterization of Nilpotent Lie Algebras Pair by Their Schur Multipliers

, , &
Pages 5474-5483 | Received 18 Jul 2011, Published online: 09 Jun 2014

REFERENCES

  • Attigobe , C. E. ( 2004 ). On Characterizing Nilpotent Lie Algebras by their Multipliers. Ph.D. Thesis NC State University, USA .
  • Batten , P. , Moneyhun , K. , Stitzinger , E. ( 1996 ). On characterizing nilpotent Lie algebras by their multipliers . Comm. Alg. 24 : 4319 – 4330 .
  • Cicalò , P. S. , de Graaf , W. A. , Schneider , C. ( 2010 ). Six-dimensional nilpotent Lie algebras. Preprint. Available at http://arxiv.org/abs/math.RA/060361v1 .
  • Ellis , G. ( 1991 ). A non-abelian tensor square of Lie algebras . Glasgow Math. J. ( 39 ): 101 – 120 .
  • Gomez , J. R. , Jimenez-Merchan , A. , Khakimdjanov , Yu. B. ( 1998 ). Low dimensional filiform Lie algebras . J. Pure Appl. Algebra 130 ( 2 ): 133 – 158 .
  • Hardy , P. ( 2005 ). On characterizing nilpotent Lie algebras by their multipliers (III) . Comm. Alg. 33 : 4205 – 4210 .
  • Hardy , P. , Stitzinger , E. ( 1998 ). On characterizing nilpotent Lie algebras by their multipliers, t(L) = 3, 4, 5, 6 . Comm. Alg. 26 ( 11 ): 3527 – 3539 .
  • Moghaddam , M. R. R. , Salemkar , A. R. , Chiti , K. ( 2007 ). Some properties on the Schur multiplier of a pair of groups . J. Algebra 312 : 1 – 8 .
  • Moghaddam , M. R. R. , Salemkar , A. R. , Karimi , T. (2008). Some inequalities for the order of Schur multiplier of a pair of groups. Comm. Algebra 36:1–6.
  • Moneyhun , K. ( 1994 ). Isoclinism in Lie algebras . Algebra, Groups & Geom. 11 : 9 – 22 .
  • Morozov , V. V. ( 1958 ). Classification des algebras de Lie nilpotents de dimension 6 . Izv. Vyssh. Ucheb. Zar 4 : 161 – 171 .
  • Saeedi , F. , Salemkar , A. R. , Edalatzaseh , B. ( 2011 ). The commutator subalgebra and Schur multiplier of a pair of nilpotent Lie algebras . J. Lie Theory 21 ( 2 ): 491 – 498 .
  • Salemkar , A. R. , Alamian , V. , Mohammadzadeh , H. ( 2008 ). Some properties of the Schur multiplier and covers of Lie algebras . Comm. Algebra 36 : 697 – 707 .
  • Salemkar , A. R. , Edalatzadeh , B. , Mohammadzadeh , H. ( 2011 ). On covers of perfect Lie algebra . Algebra Colloq. 18 ( 3 ): 419 – 427 .
  • Vergne , M. ( 1966 ). Sur la Variete des Algebras de Lie Nilpotents, These de 3'me Cycle. Paris .
  • Communicated by S. Sehgal.

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.