Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 2, Pages 53–58 (Mi vmumm3472)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Representations of Lie algebras in positive characteristic

V. V. Panyukov
Full-text PDF (945 kB) Citations (1)
Abstract: We announce some results on irreducible representations of finite dimensional restricted Lie algebras over algebraically closed fields. We prove that every irreducible representation of a restricted Lie algebra can be built using irreducible representations of some solvable Lie algebras and of central extensions of simple Lie algebras. We give some applications of this result.
Received: 23.04.1982
Revised: 27.06.1982
Bibliographic databases:
Document Type: Article
UDC: 519-14
Language: Russian
Citation: V. V. Panyukov, “Representations of Lie algebras in positive characteristic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 2, 53–58
Citation in format AMSBIB
\Bibitem{Pan83}
\by V.~V.~Panyukov
\paper Representations of Lie algebras in positive characteristic
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 2
\pages 53--58
\mathnet{http://mi.mathnet.ru/vmumm3472}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0697223}
\zmath{https://zbmath.org/?q=an:0522.17004}
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  • This publication is cited in the following 1 articles:
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