62
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On dimension and homological methods of the (higher) Schur multiplier of a pair of Lie algebras

, &
Pages 4707-4716 | Received 11 Oct 2016, Published online: 05 Apr 2017

References

  • Araskhan, M. (2013). The dimension of the c-nilpotent multiplier. J. Algebra 386:105–112.
  • Bahturin, Yu. A. (1987). Identical Relations in Lie Algebras. Translated from the Russian by Bahturin. Utrecht: VNU Science Press, BV.
  • Batten, P., Moneyhun, K., Stitzinger, E. (1996). On characterizing nilpotent Lie algebras by their multipliers. Commun. Algebra 24:4319–4330.
  • Bosko, L. R. (2010). On Schur multiplier of Lie algebras and groups of maximal class. Int. J. Algebra Comput. 20(6):807–821.
  • Ellis, G. (1998). The Schur multipliers of groups. Appl. Categorical Struct. 6:355–371.
  • Hall, M. (1956). The Theory of Groups. New York: Macmillan.
  • Hilton, P. J., Stammbach, U. (1970). A Course in Homological Algebra. Berlin: Springer-Verlag.
  • Leedham-Green, C. R., McKay, S. (1976). Baer-invariant, isologism, varietal laws and homology. Acta Math. 137: 99–150.
  • Levy, L. (2011). Multipliers for a derived Lie algebra, a matrix example. Int. Electron. J. Algebra 9:69–77.
  • Rismanchian, M. R., Araskhan, M. (2012). Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie Algebras. J. Algebra 352:173–179.
  • Rismanchian, M. R., Araskhan, M. (2014). Some properties of the c-nilpotent multiplier and c-covers of Lie Algebras. Algebra Colloq. 21:421–426.
  • Robinson, D. J. S. (1996). A Course in the Theory of Groups. New York: Springer-Verlag.
  • Salemkar, A. R., Edalatzadeh, B., Araskhan, M. (2009). Some inequalities for the dimension of the c-nilpotent multiplier Lie algebras. J. Algebra 322:1575–1585.
  • Shirshov, A. I. (1962). On bases of free Lie algebras. Algebra Logika 1(1):14–19.
  • Stallings, J. (1965). Homology and central series of groups. J. Algebra 2:170–181.

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.