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Communications in Algebra Volume 52, 2024 - Issue 6
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Research Articles

Local derivations and local automorphisms on the super Virasoro algebras

Qingyan Wua College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, ChinaView further author information
,
Shoulan Gaob Department of Mathematics, Huzhou University, Zhejiang Huzhou, ChinaView further author information
,
Dong Liub Department of Mathematics, Huzhou University, Zhejiang Huzhou, ChinaView further author information
&
Chang Yeb Department of Mathematics, Huzhou University, Zhejiang Huzhou, ChinaCorrespondence[email protected]
View further author information
Pages 2616-2625 | Received 15 Sep 2023, Accepted 30 Dec 2023, Published online: 18 Jan 2024

References

  • Ayupov, Sh., Kudaybergenov, K. (2016). Local derivations on finite-dimensional Lie algebras. Linear Algebra Appl. 493:381–398. DOI: 10.1016/j.laa.2015.11.034.
  • Ayupov, Sh., Kudaybergenov, K. (2016). 2-Local automorphisms on finite-dimensional Lie algebras. Linear Algebra Appl. 507:121–131. DOI: 10.1016/j.laa.2016.05.042.
  • Chen, Y., Zhao, K., Yue, Q. (2021). Local and 2-local automorphisms of simple generalized Witt algebras. Arkiv Matematik 59(1):1–10. DOI: 10.4310/ARKIV.2021.v59.n1.a1.
  • Chen, Y., Zhao, K., Zhao, Y. (2022). Local derivations on the Witt algebra. Linear Multilinear Algebra 70(6): 1159–1172. DOI: 10.1080/03081087.2020.1754750.
  • Dilxat, M., Gao, S., Liu, D. (2021). 2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra. Commun. Algebra 49(12):5423–5434.
  • Gao, S., Meng, Q., Pei, Y. (2019). The first cohomology of N = 1 super Virasoro algebras. Commun. Algebra 47(10):4230–4246. DOI: 10.1080/00927872.2019.1584810.
  • Kadison, R. V. (1990). Local derivations. J. Algebra 130:494–509. DOI: 10.1016/0021-8693(90)90095-6.
  • Larson, D. R., Sourour, A. R. (1990). Local derivations and local automorphisms of B(X). In: Proceedings of Symposia in Pure Mathematics, 51, Part 2. Providence, RI, pp. 187–194.
  • Liu, D., Zhang, J. (2017). Local Lie derivations of factor von Neunann algebras. Linear Algebra Appl. 519:208–218. DOI: 10.1016/j.laa.2017.01.004.
  • Li, Y., Wang, Y., Chen, H., Nan, J. Z. (2019). 2-Local automorphisms on basic classical Lie superalgebras. Acta Math. Sin. 35(3):427–437.
  • Šemrl, P. (1997). Local automorphisms and derivations on B(H). Proc. Amer. Math. Soc. 125(9):2677–2680. DOI: 10.1090/S0002-9939-97-04073-2.
  • Wu, Q., Gao, S., Liu, D. (2022). Local derivations on the Lie algebra W(2, 2). Linear Multilinear Algebra. DOI: 10.1080/03081087.2022.2160426.
  • Zhao, K. (1995). Automorphism and homomorphism of the Virasoro algebra. J. Sys. Sci. Math. Sci. 12(1):1–4.

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