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A functorial version of a construction of Hochschild and Mostow for representations of Lie algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
Let be a Lie algebra, a complemented ideal of , and W an -module. Hochschild and Mostow have described the construction of a -module “induced” from W, which is finite-dimensional provided W is finite-dimensional and satisfies a nilpotent action condition. This note describes a modification of their construction which is functorial and a weak adjoint to the restriction functor from –modules to -modules.
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- Copyright © Australian Mathematical Society 1978
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