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Structure of some ℤ-graded lie superalgebras of vector fields

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An Erratum to this article was published on 01 October 2004

Abstract

In this paper we classifyℤ-graded transitive Lie superalgebras with prescribed nonpositive parts listed in [K2]. The classification of infinite-dimensional simple linearly compact Lie superalgebras given in [K2] is based on this result. We also study the structure of the exceptionalℤ-graded transitive Lie superalgebras and give their geometric realization.

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Authors and Affiliations

  1. Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan

    S. J. Cheng

  2. Department of Mathematics, MIT, 02139, Cambridge, MA, USA

    V. Kac

Authors
  1. S. J. Cheng
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  2. V. Kac
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Additional information

Dedicated to the memory of Claude Chevalley

Partially supported by NSC grant 88-2115-M006-013 of the ROC

Partially supported by NSF grant DMS-9622870

An erratum to this article is available at http://dx.doi.org/10.1007/s00031-004-9005-8.

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Cheng, S.J., Kac, V. Structure of some ℤ-graded lie superalgebras of vector fields. Transformation Groups 4, 219–272 (1999). https://doi.org/10.1007/BF01237358

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  • DOI: https://doi.org/10.1007/BF01237358

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