Research Article

$2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras

Volume: 55 Number: 3 December 30, 2025
EN

$2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras

Abstract

The present paper is devoted to the study of $2$-local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras, which are infinite-dimensional Lie algebras with five outer derivations. We prove that all $2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras are derivations.

Keywords

Supporting Institution

No

Project Number

33

References

  1. [1] M. Abdaoui, Central extensions, derivations, 2-local derivations and biderivations of the Lie algebras $\mathfrak{L}_{\mathfrak{sl}_2}$, Bull. Malays. Math. Sci. Soc. 48(175), 3-31, 2025.
  2. [2] M. Abdaoui, Derivations, 2-local derivations and biderivations of the Euclidean Lie algebra and their applications, Lin. Multi. Algebra 73(15), 3401-3420, 2025.
  3. [3] Sh. Ayupov and F. Arzikulov 2-Local derivations of infinite-dimentional Lie algebras, J.Algebra Appl. 19(5), 121-131, 2020.
  4. [4] Sh. Ayupov, K. Kudaybergenov and I. Rakhimov, 2-Local derivations on finitedimensional Lie algebras, Lin. Algebra Appli. 474, 1-11, 2015.
  5. [5] Sh. Ayupov, K. Kudaybergenov and B.Yusupov, 2-Local derivations on generalized Witt algebras, Lin. Multi. Algebra, 69(16), 3130-3140, 2021.
  6. [6] Sh. Ayupov Sh. and B. Yusupov, 2-Local derivations on Virasoro algebras, Bul. Nat. Univ. Uzbek.: Math. and Nat Sc. 2(4), 217-2030, 2019.
  7. [7] Z. Chen and D. Wang, 2-Local automorphisms of finite-dimensional simple Lie algebras, Lin. Algebra Appli. 486, 335-344, 2015.
  8. [8] J. Han, Y. Su and J. Li, Lie bialgebra structures on the Schrödinger-Virasoro Lie algebra, J. Math. Phys. 50(8), ID: 083504, 2009.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Early Pub Date

December 30, 2025

Publication Date

December 30, 2025

Submission Date

May 22, 2023

Acceptance Date

November 16, 2025

Published in Issue

Year 2026 Volume: 55 Number: 3

APA
Abdaoui, M. (2026). $2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras. Hacettepe Journal of Mathematics and Statistics, 55(3), 962-993. https://doi.org/10.15672/hujms.1300428
AMA
1.Abdaoui M. $2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2026;55(3):962-993. doi:10.15672/hujms.1300428
Chicago
Abdaoui, Meher. 2026. “$2$-Local Derivations on the Twisted Deformative Schrödinger-Virasoro Lie Algebras”. Hacettepe Journal of Mathematics and Statistics 55 (3): 962-93. https://doi.org/10.15672/hujms.1300428.
EndNote
Abdaoui M (June 1, 2026) $2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras. Hacettepe Journal of Mathematics and Statistics 55 3 962–993.
IEEE
[1]M. Abdaoui, “$2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras”, Hacettepe Journal of Mathematics and Statistics, vol. 55, no. 3, pp. 962–993, June 2026, doi: 10.15672/hujms.1300428.
ISNAD
Abdaoui, Meher. “$2$-Local Derivations on the Twisted Deformative Schrödinger-Virasoro Lie Algebras”. Hacettepe Journal of Mathematics and Statistics 55/3 (June 1, 2026): 962-993. https://doi.org/10.15672/hujms.1300428.
JAMA
1.Abdaoui M. $2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2026;55:962–993.
MLA
Abdaoui, Meher. “$2$-Local Derivations on the Twisted Deformative Schrödinger-Virasoro Lie Algebras”. Hacettepe Journal of Mathematics and Statistics, vol. 55, no. 3, June 2026, pp. 962-93, doi:10.15672/hujms.1300428.
Vancouver
1.Meher Abdaoui. $2$-Local derivations on the twisted deformative Schrödinger-Virasoro Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2026 Jun. 1;55(3):962-93. doi:10.15672/hujms.1300428