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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 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

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.

UDC: 517.55

Received: 23.01.2004


 English version: Siberian Mathematical Journal, 2004, 45:5, 978–982

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© Steklov Math. Inst. of RAS, 2024