Erratum to “Central extensions of Lie superalgebras” (Comment. Math. Helv. 76 (2001), 110–154)

Abstract

In [IK1], 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.