LOCAL INNER DERIVATIONS ON THREE-DIMENSIONAL LIE ALGEBRAS

Avtorlar

  • Alauadinov A.K.

    Karakalpak state university name after Berdax

  • Ch.I.Jumaeva

    V.I.Romanovskiy institute of Mathematics Uzbekistan Academy of Sciences

Gilt sózler: Li algebrasi, differensiallash, ichki differensiallash, lokal ichki differensiallash

Annotaciya

Ushbu maqolada biz uch o‘lchovli Li algebralarining mahalliy ichki hosilalarini o‘rganamiz. Biz uch o‘lchovli Li algebralarining har qanday mahalliy ichki hosilasi ichki hosila ekanligini ko‘rsatamiz.

Paydalanılǵan ádebiyatlar

1. Adashev J.K., Kurbanbaev T.K. Almost Inner Derivations of some Nilpotent Leibniz Algebras, Journal of Siberian Federal University. Mathematics & Physics 2020, 13(6), -Р. 1–13.

2. Ayupov Sh.A., Kudaybergenov K.K. Local derivations on finite-dimensional Lie algebras // Linear Algebra and its Applications. 493 (2016), -P. 381–398.

3. Ayupov Sh.A., Kudaybergenov K.K. 2-Local automorphisms on finite-dimensional Lie algebras. // Linear Algebra and its Applications. 507, 2016, -P. 121–131.

4. Ayupov Sh.A., Kudaybergenov K.K. Local Automorphisms on Finite-Dimensional Lie and Leibniz Algebras // Algebra, Complex Analysis and Pluripotential Theory, USUZCAMP 2017. Springer Proceedings in Mathematics and Statistics. 264, 2017, -P. 31–44.

5. Ayupov Sh.A., Kudaybergenov K.K., Rakhimov I.S. 2-Local derivations on finite-dimensional Lie algebras // Linear Algebra and its Applications. 474, 2015, -P. 1–11.

6. Burde D., Dekimpe K., Verbeke B. Almost inner derivations of Lie algebras. Journal of Algebra and Its Applications, 17, 2018, no. –Р.11, 26.

7. Chen Z., Wang D. 2-Local automorphisms of finite-dimensional simple Lie algebras // Linear Algebra and its Applications. 486 (2015), -Р. 335–344.

8. Gordon C.S., Wilson E.N. Isospectral deformations of compact solvmanifolds. J. Differential Geom. 19 (1984), no. 1, 214–256.

9. Jacobson N. Lie algebras, Interscience Publishers, Wiley, -New York: 1962 .

10. Kadison R.V. Local derivations, J. Algebra, 130. 1990, -Р. 494–509.

11. Larson D.R., Sourour A.R. Local derivations and local automorphisms of B(X), Proc. Sympos. Pure Math. 51. 1990, -Р. 187–194.

12. Molnár L. Locally inner derivations of standard operator algebras. (English). Mathematica Bohemica, vol. 121. 1996, issue 1, -P. 1-7.