Email this article Restricted Lie (Super)Algebras in Characteristic 3
- Authors: Bouarroudj S.1, Krutov A.O.2,3, Lebedev A.V.4, Leites D.A.1,5, Shchepochkina I.M.3
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Affiliations:
- Division of Science and Mathematics, New York University
- Institute of Mathematics, Polish Academy of Sciences
- Independent University of Moscow
- Equa Simulation AB
- Department of Mathematics, Stockholm University
- Issue: Vol 52, No 1 (2018)
- Pages: 49-52
- Section: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234400
- DOI: https://doi.org/10.1007/s10688-018-0206-7
- ID: 234400
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Abstract
We give explicit formulas proving that the following Lie (super)algebras are restricted: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, simple subquotients over an algebraically closed field of characteristic 3 of these (super)algebras (under certain conditions), and deformed divergence-free Lie superalgebras of a certain type with any finite number of indeterminates in any characteristic.
About the authors
S. Bouarroudj
Division of Science and Mathematics, New York University
Author for correspondence.
Email: sofiane.bouarroudj@nyu.edu
United Arab Emirates, Abu Dhabi
A. O. Krutov
Institute of Mathematics, Polish Academy of Sciences; Independent University of Moscow
Email: sofiane.bouarroudj@nyu.edu
Poland, Warszawa; Moscow
A. V. Lebedev
Equa Simulation AB
Email: sofiane.bouarroudj@nyu.edu
Sweden, Stockholm
D. A. Leites
Division of Science and Mathematics, New York University; Department of Mathematics, Stockholm University
Email: sofiane.bouarroudj@nyu.edu
United Arab Emirates, Abu Dhabi; Stockholm
I. M. Shchepochkina
Independent University of Moscow
Email: sofiane.bouarroudj@nyu.edu
Russian Federation, Moscow
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