Erratum to ``Central extensions of Lie superalgebras'' (Q643322)

Summary: In [Comment. Math. Helv. 76, No. 1, 110--154 (2001; Zbl 1036.17004)], we have shown the existence of a Chevalley basis for the basic classical Lie superalgebras (Theorem 3.9) and define Lie superalgebras over \(\mathbb{Z}\) (Corollary 3.10). However, in the case of \(G(3)\), our choice of the Cartan matrix in Appendix A is not appropriate and half integers appear as structure constants given by Theorem 3.9. An appropriate choice of the Cartan matrix of type \(G(3)\) is given.