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Commentarii Mathematici Helvetici


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Volume 86, Issue 4, 2011, pp. 985–986
DOI: 10.4171/CMH/246

Published online: 2011-09-22

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

Kenji Iohara[1] and Yoshiyuki Koga[2]

(1) Université Claude Bernard Lyon 1, Villeurbanne, France
(2) University of Fukui, Japan

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.

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Iohara Kenji, Koga Yoshiyuki: Erratum to “Central extensions of Lie superalgebras” (Comment. Math. Helv. 76 (2001), 110–154). Comment. Math. Helv. 86 (2011), 985-986. doi: 10.4171/CMH/246