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Abstract
In this paper a left adjoint is constructed for the restriction (or pullback) functor associated to a morphism of Lie algebras. Colimits in the category of crossed modules in Lie algebras and a new result on crossed modules induced by a morphism of Lie algebras ι : P → Q in the case where ι is the inclusion of an ideal, are obtained.
Received: 1999-05-03
Published Online: 2010-02-23
Published in Print: 2000-September
© Heldermann Verlag