def METHOD_NAME(self):
    """
    Construct the universal enveloping algebra of ``self``.
    EXAMPLES::
        sage: L = LieAlgebra(QQ, 3, 'x', abelian=True)
        sage: L._construct_UEA()
        Multivariate Polynomial Ring in x0, x1, x2 over Rational Field
    """
    return PolynomialRing(self.base_ring(), self.variable_names())