Maximal solvable extensions of m-dimensional some n-Lie algebras
##submission.downloads##
Ushbu maqola m-o‘lchamli n-Li algebralarning maksimal yechiluvchi kengaytmalarini qurishga
bag‘ishlangan. Tadqiqot bunday kengaytmalarni aniqlash va tasniflashning tizimli yondashuvini
taklif etadi hamda yuqori tartibli Li tuzilmalarining doirasida olib boriladi. Olingan natijalar n-
Li algebralarning hamda ularning yechiluvchi kengaytmalarining algebraik xossalarini chuqurroq
anglashga xizmat qiladi va matematika hamda nazariy fizikaning keyingi qo‘llanmalariga asos bo‘lishi
mumkin.
1. Bai R., Shen C., and Zhang Y., 3-Lie algebras with an ideal N, Linear Algebra Appl., 2009, vol. 431, No.
5-7, pp. 673-700.
2. Camacho L.M., Casas J.M., Gomez J.R., Ladra M., Omirov B.A. On Nilpotent Leibniz n-algebras, J.
Algebra Appl. 2012. vol. 11 No. 3 , 1250062 (17 pages)
3. V.T.Fillipov, n-Lie algebras, Sibirsk. Mat. Zh., 1985, Vol. 26, No 6, pp 126-140.
4. Kasymov, S.M., On a theory of n-Lie algebras. Algebra and Logic, 1987, Vol. 26, No 3, pp 155-166.
5. Nambu Y., Generalized Hamiltonian dynamics, Phys. Rev., 1973. vol. 7, No. 8, pp 2405-2412.
6. Takhtajan L., On foundation of the generalized Nambu mechanics, Commun. Math. Phys., 1994. vol. 160,
No. 2, pp 295-315.
7. Liu, J., Chen, Z., Wang, Y., Structure and classification of nilpotent 3-Lie algebras. Communications in
Algebra, 2015. Vol. 43, No 3, pp 1053-1068.
Mulkiiyat (c) 2025 «O‘zMU XABARLARI»

Ushbu ish quyidagi litsenziya asosida ruxsatlangan Kreativ Commons Attribution-NonCommercial-ShareAlike 4.0 International litsenziyasi asosida bu ish ruxsatlangan..






.jpg)

.png)





