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Ramond, Neveu–Schwarz algebras and narrow Lie superalgebras
- Authors: Millionshchikov D.V.1, Pokrovsky T.I.2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Bauman Moscow State Technical University
- Issue: Vol 515, No 1 (2024)
- Pages: 40-43
- Section: MATHEMATICS
- URL: https://ruspoj.com/2686-9543/article/view/647922
- DOI: https://doi.org/10.31857/S2686954324010064
- EDN: https://elibrary.ru/ZTSTDA
- ID: 647922
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Abstract
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.
About the authors
D. V. Millionshchikov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: dmitry.millionschikov@math.msu.ru
Russian Federation, Moscow
Th. I. Pokrovsky
Bauman Moscow State Technical University
Email: fedya-57@yandex.ru
Russian Federation, Moscow
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