241
Views
52
CrossRef citations to date
0
Altmetric
Original Articles

Some Properties of the Schur Multiplier and Covers of Lie Algebras

, &
Pages 697-707 | Received 19 Nov 2006, Published online: 07 Apr 2008

REFERENCES

  • Batten , P. ( 1993 ). Covers and Multipliers of Lie Algebras . Ph.D. dissertation , North Carolina State University .
  • Batten , P. , Stitzinger , E. ( 1996 ). On covers of Lie algebras . Comm. Alg. 24 : 4301 – 4317 .
  • Batten , P. , Moneyhun , K. , Stitzinger , E. ( 1996 ). On characterizing nilpotent Lie algebras by their multipliers . Comm. Alg. 24 : 4319 – 4330 .
  • Hall , P. ( 1940 ). The classification of prime-power groups . J. Reine Angew. Math. 182 : 130 – 141 .
  • Hardy , P. ( 2005 ). On characterizing nilpotent Lie algebras by their multipliers III . Comm. Alg. 33 : 4205 – 4210 .
  • Jones , M. R. , Wiegold , J. ( 1974 ). Isoclinism and covering groups . Bull. Austral. Math. Soc. 11 : 71 – 76 .
  • Karpilovsky , G. ( 1987 ). The Schur Multiplier . London Math. Soc. Monographs New Series 2 .
  • Moneyhun , K. ( 1994 ). Isoclinisms in Lie algebras . Algebra, Groups and Geometries 11 : 9 – 22 .
  • Schur , I. ( 1904 ). Über Die Darstellung der endlichen Gruppen durch gebrochene linear substitutionen . J. Reine Angew. Math. 127 : 20 – 50 .
  • Yamazaki , K. ( 1964 ). Projective representations and ring extensions . J. Fac. Sci. Univ. Tokyo, Sect I 10 : 147 – 195 .
  • Yankosky , B. ( 2003 ). On the multiplier of a Lie algebra . J. Lie Theor. 13 : 1 – 6 .
  • Communicated by V. Srak.

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.