Email this article Short $SL_2$-structures on simple Lie algebras
- Authors: Stasenko R.O.1,2
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Affiliations:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Moscow Center for Fundamental and Applied Mathematics
- Issue: Vol 214, No 4 (2023)
- Pages: 132-180
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/133522
- DOI: https://doi.org/10.4213/sm9788
- ID: 133522
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Abstract
In Vinberg's works certain non-Abelian gradings of simple Lie algebras were introduced and investigated, namely, short SO3- and SL3-structures. We investigate a different kind of these, short SL2-structures. The main results refer to the one-to-one correspondence between such structures and certain special Jordan algebras.
About the authors
Roman Olegovich Stasenko
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Moscow Center for Fundamental and Applied Mathematics
Author for correspondence.
Email: theromestasenko@yandex.ru
without scientific degree, no status
References
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