Linearly compact algebraic Lie algebras and coalgebraic Lie coalgebras

  • Cuartero B
  • Galé J
  • Slinko A
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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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Cuartero, B., Galé, J. E., & Slinko, A. M. (1997). Linearly compact algebraic Lie algebras and coalgebraic Lie coalgebras. Proceedings of the American Mathematical Society, 125(7), 1945–1952. https://doi.org/10.1090/s0002-9939-97-03794-5

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