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

### Kenji Iohara

Université Claude Bernard Lyon 1, Villeurbanne, France### Yoshiyuki Koga

University of Fukui, Japan

## 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 $Z$ (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.

## Cite this article

Kenji Iohara, Yoshiyuki Koga, Erratum to “Central extensions of Lie superalgebras” (Comment. Math. Helv. 76 (2001), 110–154). Comment. Math. Helv. 86 (2011), no. 4, pp. 985–986

DOI 10.4171/CMH/246