Linearly compact algebraic Lie algebras and coalgebraic Lie coalgebras

Cuartero, Bienvenido; Galé, José; Slinko, Arkadii

doi:10.1090/S0002-9939-97-03794-5

Linearly compact algebraic Lie algebras and coalgebraic Lie coalgebras
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by Bienvenido Cuartero, José E. Galé and Arkadii M. Slinko PDF

Proc. Amer. Math. Soc. 125 (1997), 1945-1952 Request permission

Abstract:

It is proved that if the dual Lie algebra of a Lie coalgebra is algebraic, then it is algebraic of bounded degree. This result is an analog of the D.Radford’s result for associative coalgebras.

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