TO‘LDIRUVCHI FAZONING O‘LCHAMI MAKSIMAL NILRADIKALI FILIFORM BO‘LGAN YECHILUVCHAN LI ALGEBRASINING DIFFERENSIALLASHLARI
Abstract
Bu maqolada nilradikali filiform va to‘ldiruvchi fazosining o‘lchami maksimal bo‘lgan yechilivchan Li algebralaridagi har qanday lokal differensiallash differensiallash bo‘lishi ko‘rsatilgan.
Downloads
References
Ayupov Sh. A., Kudaybergenov K. K. 2-local derivations on von Neumann algebras // Positivity. 19 (2015), p. 445-455.
Ayupov Sh. A., Kudaybergenov K. K. Local derivations on finite-dimensional Lie algebras // Linear Algebra and its Applications. 493 (2016), p. 381–398.
Ayupov Sh. A., Kudaybergenov K. K. 2-Local automorphisms on finite-dimensional Lie algebras // Linear Algebra and its Applications. 507 (2016), p. 121–131.
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.
Ayupov Sh. A., Kudaybergenov K. K., Nurjanov B., Alauadinov A. Local and 2-Local derivations on noncommutative arens algebras // Mathematic Slovaca. 64 (2014), p. 423–432.
Ayupov Sh. A., Kudaybergenov K. K., Omirov A. B. Local and 2-local derivations and automorphisms on simple Leibniz algebras // Bulletin of the Malaysian Mathematical Sciences Society. 43 (3) (2020), p. 2199–2234.
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.
Chen Z., Wang D. 2-Local automorphisms of finite-dimensional simple Lie algebras // Linear Algebra and its Applications. 486 (2015), p. 335–344.
Šnobl L., On the structure of maximal solvable extensions and of Levi extensions of nilpotent Lie algebras // J. Phys. A, Math. Theor. 43:17 (2010) Article ID 505202.
Kadison R. V. Local derivations // Journal of Algebra. 130 (1990), p. 494–509.
B. Verbeke, Almost inner derivations of Lie algebras, PhD dissertation, KU Leuven Faculty of Science, 2020.
Kudaybergenov K.K., Omirov B.A., Kurbanbaev T.K. Local derivations on solvable Lie algebras of maximal rank // Communications in Algebra https://doi.org/10.1080/00927872.2022.2045494.
I.Kaygorodov, К.К.Kudaybergenov, I.G’.Yuldashev. Local derivations of semisimple Leibniz algebras // CIMPA School "Nonassociative Algebras and Its Applications", Madagascar. Communications in Mathematics 30 (2022), DOI: https://doi.org/10.46298/cm.9274
I.G’.Yuldashev. Local derivations on solvable Lie algebras with a filiform nilradical // “Qoraqalpog’istonda fan va ta’lim” 2021-yil 4-son (18)
