@article{IVM_2024_9_a9,
author = {A. V. Kondrateva and M. I. Kuznetsov},
title = {Filtered deformations of graded non-alternating {Hamiltonian} {Lie} algebras},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {100--105},
year = {2024},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2024_9_a9/}
}
TY - JOUR AU - A. V. Kondrateva AU - M. I. Kuznetsov TI - Filtered deformations of graded non-alternating Hamiltonian Lie algebras JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2024 SP - 100 EP - 105 IS - 9 UR - http://geodesic.mathdoc.fr/item/IVM_2024_9_a9/ LA - ru ID - IVM_2024_9_a9 ER -
A. V. Kondrateva; M. I. Kuznetsov. Filtered deformations of graded non-alternating Hamiltonian Lie algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2024), pp. 100-105. http://geodesic.mathdoc.fr/item/IVM_2024_9_a9/
[1] Kats V.G., “Opisanie filtrovannykh algebr Li, s kotorymi assotsiirovany graduirovannye algebry Li kartanovskogo tipa”, Izv. AN SSSR, Ser. Matem., 38:4 (1974), 800–834
[2] Wilson R.L., “A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic”, J. Algebra, 40 (1976), 418–465 | DOI | MR | Zbl
[3] Kuznetsov M.I., “Usechennye indutsirovannye moduli nad tranzitivnymi algebrami Li kharakteristiki $p$”, Izv. AN SSSR. Ser. matem., 53:3 (1989), 557–589 | Zbl
[4] Kuznetsov M.I., “Teorema vlozheniya dlya tranzitivnykh filtrovannykh algebr Li kharakteristiki $p$”, Izv. vuzov. Matem., 1991, no. 10, 43–45 | Zbl
[5] Kuznetsov M.I., “On Lie algebras of contact type”, Commun. Algebra, 18:9 (1990), 2943–3013 | DOI | MR | Zbl
[6] Skryabin S.M., Kanonicheskii vid gamiltonovykh i kontaktnykh form nad algebrami razdelennykh stepenei, Dep. VINITI 8594-B86, 1986
[7] Skryabin S.M., “Klassifikatsiya gamiltonovykh form nad algebrami razdelennykh stepenei”, Matem. sb., 181:1 (1990), 114–133
[8] Skryabin S.M., “Modular Lie algebras of Cartan type over algebraically non-closed fields. I”, Commun. Algebra, 19:6 (1991), 1629–1741 | DOI | MR | Zbl
[9] Skryabin S.M., Formy algebr Li kartanovskogo tipa, Lambert Acad. Publ., 2015
[10] Strade H., Simple Lie algebras over fields of positive characteristic, v. I, de Gruyter Exp. Math., Structure theory, Berlin, 2004 | MR | Zbl
[11] Lin Lei, “Non-alternating Hamiltonian algebra $P(n,m)$ of characteristic two”, Commun. Algebra, 21:2 (1993), 399–411 | DOI | MR | Zbl
[12] Bouarrodj S., Grozman P., Lebedev A., Leites D., “Divided power $($co$)$homology. Presentation of simple finite dimensional modular superalgebras with Cartan matrix”, Homology Homotopy Appl., 12:1 (2010), 237–278 | DOI | MR
[13] Kuznetsov M.I., Kondrateva A.V., Chebochko N.G., “O gamiltonovykh algebrakh Li kharakteristiki $2$”, Matem. zhurnal., 16:2 (2016), 54–65 http://www.math.kz | Zbl
[14] Kondrateva A.V., Kuznetsov M.I., “Nealterniruyuschie gamiltonovy formy nad algebroi razdelennykh stepenei v kharakteristike $2$”, Izv. vuzov. Matem., 2023, no. 6, 95–100
[15] Kondrateva A.V., “Non-alternating Hamiltonian Lie algebras of characteristic two in three variables”, Lobachevskii J. Math., 42:12 (2021), 2841–2853 | DOI | MR | Zbl
[16] Kostrikin A.I., Shafarevich I.R., “Graduirovannye algebry Li konechnoi kharakteristiki”, Izv. AN SSSR. Ser. matem., 33:2 (1969), 251–322
[17] Strade H., Farnsteiner R., Modular Lie Algebras and Their Representations, Marcel Dekker, New York–Basel, 1988 | MR | Zbl