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Lie algebras and Hopf algebras

Lie algebras and Hopf algebras

For a finite-dimensional Lie algebra L over a field of characteristic 0, the structure of the Hopf algebra of representative functions of L, ^(L), is known in some detail from Hochschild, Illinois J. Math., 1959 and 1960.Depending on these results, we demonstrate sufficient conditions for a Hopf algebra over an …