Enviar artigo por via de e-mail Ramond, Neveu–Schwarz algebras and narrow Lie superalgebras
- Autores: Millionshchikov D.V.1, Pokrovsky T.I.2
-
Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Bauman Moscow State Technical University
- Edição: Volume 515 (2024)
- Páginas: 40-43
- Seção: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647922
- DOI: https://doi.org/10.31857/S2686954324010064
- EDN: https://elibrary.ru/ZTSTDA
- ID: 647922
Citar
Texto integral
Acesso aberto
Acesso está concedido
Acesso é pago ou somente para assinantes
Resumo
Two one-parameter families of positively graded Lie superalgebras generated by two elements and two relations that are narrow in the sense of Zelmanov and Shalev are considered. The first family contains the positive part R+ of the Ramon algebra, the second one contains the positive part NS+ of the Neveu-Schwarz algebra. The results of the article are super analogues of Benoist’s theorem on defining the positive part of the Witt algebra by generators and relations.
Palavras-chave
Texto integral
Sobre autores
D. Millionshchikov
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: dmitry.millionschikov@math.msu.ru
Rússia, Moscow
Th. Pokrovsky
Bauman Moscow State Technical University
Email: fedya-57@yandex.ru
Rússia, Moscow
Bibliografia
- Benoist Y. Une nilvariété non affine // J. Diff. Geom. 1995. Vol. 41. P. 21–52.
- Фиаловски А. Классификация градуированных алгебр Ли с двумя образующими // Вестн. МГУ. Сер. 1. Матем., мех. 1983. Т. 38. № 2. P. 62–64.
- Bouarroudj S., Navarro R.M. Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical // Communications in Algebra. 2021. Vol. 49. No. 12. P. 5061–5072.
- Camacho L.M., Navarro R.M., Sánchez J.M. On Naturally Graded Lie and Leibniz Superalgebras // Bull. Malays. Math. Sci. Soc. 2020. Vol. 43. P. 3411–3435.
- Миллионщиков Д.В. Филиформные -градуированные алгебры Ли // УМН. 2002. Т. 57. № 2. С. 197–198.
- Миллионщиков Д.В. Естественно градуированные алгебры Ли медленного роста // Матем. сб. 2019. Т. 210. № 6. С. 111–160.
- Миллионщиков Д.В. Узкие положительно градуированные алгебры Ли // Доклады Академии наук. 2018. Т. 483. № 5. С. 492–494.
- Milnor J. On fundamental groups of complete affinely flat manifolds // Adv. Math. 1977. Vol. 25. P. 178–187.
- Shalev A., Zelmanov E.I. Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra // J. Algebra. 1997. Vol. 189. P. 294–331.
Arquivos suplementares
