Vol. 94, No. 2, 1981

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Cartan subalgebras of a Lie algebra and its ideals. II

David J. Winter

Vol. 94 (1981), No. 2, 493–494
Abstract

Cartan subalgebras H of a Lie algebra L and Cartan subalgebras Ĥ of its p-closure L are related. This is used to prove that I0(ad H I) is a Cartan subalgebra of I if p = 0 or (adII)p adII, by reduction to the known case (ad L)p ad L.

Mathematical Subject Classification 2000
Primary: 17B50
Milestones
Received: 25 March 1980
Published: 1 June 1981
Authors
David J. Winter