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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1971 Volume 35, Issue 5, Pages 1113–1119 (Mi im2149)

This article is cited in 15 papers

Deformations of simple Lie algebras

A. N. Rudakov


Abstract: If we consider deformations of a Lie algebra over an arbitrary scheme, many simple Lie algebras of characteristic $p$ have deformations. It is shown that when $p>3$ the semisimple Lie algebras without deformations are the Lie algebras of classical type.

UDC: 519.46

MSC: 17B05, 17B20, 17B45

Received: 16.03.1971


 English version:
Mathematics of the USSR-Izvestiya, 1971, 5:5, 1120–1126

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