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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1189–1194 (Mi smj1129)  
The finite dimension property of the irreducible representations of noetherian $p$-Lie algebras

M. A. Shevelin

Omsk State University
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Abstract: We prove that the irreducible representations are finite-dimensional of the almost solvable restricted Lie algebras with the ascending chain condition for $p$-subalgebras over a perfect field.
Keywords: polycyclic-by-finite $p$-Lie algebra, restricted universal enveloping algebra, irreducible representation.
Received: 23.01.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 978–982
DOI: https://doi.org/10.1023/B:SIMJ.0000042486.47386.8c
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: M. A. Shevelin, “The finite dimension property of the irreducible representations of noetherian $p$-Lie algebras”, Sibirsk. Mat. Zh., 45:5 (2004), 1189–1194; Siberian Math. J., 45:5 (2004), 978–982
Citation in format AMSBIB
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\vol 45
\issue 5
\pages 1189--1194
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\transl
\jour Siberian Math. J.
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\vol 45
\issue 5
\pages 978--982
\crossref{https://doi.org/10.1023/B:SIMJ.0000042486.47386.8c}
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