88
Views
0
CrossRef citations to date
0
Altmetric
Articles

New bounds on the dimension of the Schur multiplier of n-Lie algebras

&
Pages 1-19 | Received 18 Mar 2022, Accepted 25 May 2022, Published online: 10 Jul 2022

References

  • Akbarossadat, S. N., Saeedi, F. (2020). Non-abelian tensor product of n-Lie algebras. J. Lie Theor. 30:259–276.
  • Akbarossadat, S. N., Saeedi, F. (2020). On the dimension of the Schur multiplier of n-Lie algebras. Linear Multilin Algebra 68(7):1465–1499. DOI: 10.1080/03081087.2018.1546817.
  • Akbarossadat, S. N., Saeedi, F. (2021). On the dimension of non-abelian tensor square of n-Lie algebras. TamKang J. Math. 52(3):363–381.
  • Darabi, H., Saeedi, F., Eshrati, M. (2016). A characterization of finite dimensional nilpotent Filippov algebras. J. Geom. Phys. 101:100–107. DOI: 10.1016/j.geomphys.2015.12.007.
  • Darabi, H., Saeedi, F. (2017). On the Schur multiplier of n-Lie algebras. J. Lie Theor. 27(1):271–281.
  • Eshrati, M., Saeedi, F., Darabi, H. (2016). On the multiplier of nilpotent n-Lie algebras. J. Algebra 450:162–172. DOI: 10.1016/j.jalgebra.2015.11.006.
  • Filippov, V. T. (1985). n-Lie algebras. Sibirsk. Math. J. 26(6):126–140.
  • Johari, F., Niroomand, P., Shamsaki, A. (2021). The Schur multiplier of a nilpotent Lie algebra with derived subalgebra of maximum dimension. Quaestion Math. 44(6):849–856. DOI: 10.2989/16073606.2020.1752323.
  • Niroomand, P., Johari, F., Parvizi, M. (2019). Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field. Linear Multilin Algebra 67(3):542–554. DOI: 10.1080/03081087.2018.1425356.
  • Niroomand, P., Parvizi, M., Russo, F. G. (2013). Some criteria for detecting capable Lie algebras. J. Algebra 384:36–44. DOI: 10.1016/j.jalgebra.2013.02.033.
  • Niroomand, P., Shamsaki, A. (2020). Nilpotent Lie algebras having the Schur multiplier of maximum dimension. Quaestion Math. 43(9):1239–1246. DOI: 10.2989/16073606.2019.1606123.
  • Rai, P. K. (2019). On the dimension of the Schur multiplier of of nilpotent Lie algebras. Commun. Algebra 47(10):3982–3986. DOI: 10.1080/00927872.2019.1572177.
  • Salemkar, A. R., Alamian, V., Mohammadzadeh, H. (2008). Some properties of the Schur multiplier and covers of Lie Algebras. Commun. Algebra 36(2):697–707. DOI: 10.1080/00927870701724193.

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.