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Research Articles

Local derivations of conformal Galilei algebra

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Pages 2489-2508 | Received 28 Apr 2023, Accepted 27 Dec 2023, Published online: 10 Jan 2024

References

  • Adashev, J. Q., Yusupov, B. B. (2022). Local derivations and automorphisms of direct sum null-filiform Leibniz algebras. Lobachevskii J. Math. 43(12):1–7.
  • Alauadinov, A. K., Yusupov, B. B. (2023). Local derivations of the Schrödinger algebras. Algebra Colloq.
  • Andrzejewski, K., Gonera, J., Maslanka, P. (2012). Nonrelativistic conformal groups and their dynamical realizations. Phys. Rev. D 86:065009. DOI: 10.1103/PhysRevD.86.065009.
  • Aizawa, N., Isaac, P. S. (2011). On irreducible representations of the exotic conformal Galilei algebra. J. Phys. A 44:035401. DOI: 10.1088/1751-8113/44/3/035401.
  • Ayupov, Sh. A., Elduque, A., Kudaybergenov, K. K. (2022). Local derivations and automorphisms of Cayley algebras. J. Pure Appl. Algebra. 227(5):107277. DOI: 10.1016/j.jpaa.2022.107277.
  • Ayupov, Sh. A., Khudoyberdiyev, A. Kh., Yusupov, B. B. (2020). Local and 2-local derivations of solvable Leibniz algebras. Int. J. Algebra Comput. 30(6):1185–1197. DOI: 10.1142/S021819672050037X.
  • Ayupov, Sh. A., Kudaybergenov, K. 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. A., Kudaybergenov, K. K., Allambergenov, A. (2023). Local and 2-local derivations on octonion algebras. J. Algebra Appl. 22(7):2350147. DOI: 10.1142/S0219498823501475.
  • Ayupov, Sh. A., Kudaybergenov, K. K., Yusupov, B. B. (2020). Local and 2-local derivations of p-filiform Leibniz algebras. J. Math. Sci. 245(3):359–367.
  • Ayupov, Sh. A., Kudaybergenov, K. K., Yusupov, B. B. (2022). Local and 2-local derivations of locally simple Lie algebras. Contemp. Math. Fundam. Dir. 68(1):59–69. DOI: 10.22363/2413-3639-2022-68-1-59-69.
  • Cai, Y., Cheng, Y., Shen, R. (2014). Quasi-Whittaker modules for Schrodinger algebra. Linear Algebra Appl. 463: 16–32. DOI: 10.1016/j.laa.2014.09.001.
  • Chen, Y., Zhao, K., Zhao, Y. (2022). Local derivations on Witt algebras. Linear Multilinear Algebra 70(6):1159–1172. DOI: 10.1080/03081087.2020.1754750.
  • Elisova, A. P., Zotov, I. N., Levchuk, V. M., Suleymanova, G. S. (2011). Local automorphisms and local derivations of nilpotent matrix algebras. Izv. Irkutsk Gos. Univ. 4(1):9–19.
  • Ferreira, B., Kaygorodov, I., Kudaybergenov, K. K. (2021). Local and 2-local derivations of simple n-ary algebras. Ricerchedi Matematica. DOI: 10.1007/s11587-021-00602-3.
  • Johnson, B. E. (2001). Local derivations on C*-algebras are derivations. Trans. Amer. Math. Soc. 353:313–325.
  • Galajinsky, A., Masterov, I. (2013). Dynamical realization of l-conformal Galilei algebra and oscillators. Nuclear Phys. B, 866(2):212–227. DOI: 10.1016/j.nuclphysb.2012.09.004.
  • 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). Proc. Sympos. Pure Math. 51:187–194.
  • Lü, R., Mazorchuk, V., Zhao, K. (2014). On simple modules over conformal Galilei algebras. J. Pure Appl. Algebra 140:1885–1899.
  • Kudaybergenov, K. K., Omirov, B. A., Kurbanbaev, T. K. (2022). Local derivations on solvable Lie algebras of maximal rank. Commun. Algebra 50(9):1–11.
  • Kudaybergenov, K. K., Kaygorodov, I., Yuldashev, I. (2022). Local derivations of semisimple Leibniz algebras. Commun. Math. 30(2):1–12.
  • Yu, Y., Chen, Zh. (2020). Local derivations on Borel subalgebras of finite-dimensional simple Lie algebras. Commun. Algebra 48(1):1–10. DOI: 10.1080/00927872.2018.1541465.
  • Yao, Y. F. (2022). Local derivations on the Witt algebra in prime characteristic. Linear Multilinear Algebra 70: 2919–2933. DOI: 10.1080/03081087.2020.1819189.
  • Zhao, Yu., Cheng, Y. (2021). 2-local derivation on the conformal Galilei algebra, arXiv:2103.04237.
  • Zhang, X., Cheng, Y. (2015). Simple Schrodinger modules which are locally finite over the positive part. J. Pure Appl. Algebra 219:2799–2815. DOI: 10.1016/j.jpaa.2014.09.029.