Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform

Authors

  • S.N. Bozorova Author
  • I.B. Choriyeva Author

DOI:

https://doi.org/10.29229/uzmj.2025-4-5

Keywords:

Lie algebras, symmetric Leibniz algebras, perfect algebras, almost filiform Lie algebras

Abstract

In this paper, we classify the symmetric Leibniz algebras whose underlying Lie algebra is almost filiform. We also describe the symmetric Leibniz algebras associated with Heisenberg and triangular Lie algebras. Moreover, we prove that there is no symmetric Leibniz algebra whose underlying Lie algebra is perfect.

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Published

2025-11-03

Issue

Vol. 69 No. 4 (2025): Uzbek Mathematical Journal

Section

Others

How to Cite

Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform. (2025). Uzbek Mathematical Journal, 69(4), 40-45. https://doi.org/10.29229/uzmj.2025-4-5