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August 2004 Addendum: Generalized Spencer Cohomology and Filtered Deformations of $\mathbb{Z}$-graded Lie Superalgebras
Shun-Jen Cheng, Victor Kac
Adv. Theor. Math. Phys. 8(4): 697-709 (August 2004).

Abstract

In [K] all the possibilities for the non-positive part $\mathfrak{g}_{\le 0}=\bigoplus_{j=-h}^{0}\mathfrak{g}_{j}$ of the associated graded Lie superalgebra $\mathfrak{g}=\bigoplus_{j\ge -h}\mathfrak{g}_j$ of a simple linearly compact Lie superalgebra $L$, for a "good" choice of its filtration, were obtained. In [CK2] the transitive $\mathbb{Z}$-graded $\mathfrak{g}$ with those $\mathfrak{g}_{\le 0}$ were classified, and in [CK1] and [K], in order to reconstruct $L$ from $\mathfrak{g}$, their filtered deformations were classified. However, some cases had been inadvertently omitted. In this note we take the opportunity to amend this.

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Shun-Jen Cheng. Victor Kac. "Addendum: Generalized Spencer Cohomology and Filtered Deformations of $\mathbb{Z}$-graded Lie Superalgebras." Adv. Theor. Math. Phys. 8 (4) 697 - 709, August 2004.

Information

Published: August 2004
First available in Project Euclid: 2 June 2005

zbMATH: 1094.17005
MathSciNet: MR1688484

Rights: Copyright © 2004 International Press of Boston

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Vol.8 • No. 4 • August 2004
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