Mots-clés : Lie group
@article{IVM_2024_5_a3,
author = {O. L. Kurnyavko and I. V. Shirokov},
title = {Construction of first-order invariant differential operators},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {37--46},
year = {2024},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2024_5_a3/}
}
O. L. Kurnyavko; I. V. Shirokov. Construction of first-order invariant differential operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2024), pp. 37-46. http://geodesic.mathdoc.fr/item/IVM_2024_5_a3/
[1] Shirokov I.V., “Postroenie algebr Li differentsialnykh operatorov pervogo poryadka”, Izv. vuzov. Fizika, 1997, no. 6, 25–32
[2] Magazev A.A., Mikheyev V.V., Shirokov I.V., “Computation of composition functions and invariant vector fields in terms of structure constants of associated lie algebras”, SIGMA, 11 (2015) | MR | Zbl
[3] Shirokov I.V., “Differentsialnye invarianty gruppy preobrazovanii odnorodnogo prostranstva”, Sib. matem. zhurn., 48:6 (2007), 1405–1421 | MR | Zbl
[4] Ibragimov N.Kh., Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR
[5] Olver P., Prilozheniya grupp Li k differentsialnym uravneniyam, ed. A.B.Shabat, Mir, M., 1989
[6] Chupakhin A.P., “Differential invariants$:$ theorem of commutativity” (Moscow, 2022), Proc. of “Group analysis of nonlinear wave problems”, Commun. Nonlinear Sci. Numer. Simul., 9, no. 1, 2004, 25–33 | MR | Zbl
[7] Shapovalov A.V., Shirokov I.V., “Nekommutativnoe integrirovanie uravnenii Kleina–Gordona i Diraka v rimanovykh prostranstvakh s gruppoi dvizhenii”, Izv. vuzov. Fizika, 34:5 (1991), 43–46