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  • Carbone, Lisa, et al. (author)
  • Generators and relations for (generalised) Cartan type superalgebras
  • 2019
  • In: Journal of Physics: Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 1194:1
  • Conference paper (peer-reviewed)abstract
    • In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional Lie algebras, but with additional types of nodes. For example, A(n-1,0) = s (1|n) can be constructed by adding a "gray" node to the Dynkin diagram of An-1 = s (n), corresponding to an odd null root. The Cartan superalgebras constitute a difierent class, where the simplest example is Wpnq, the derivation algebra of the Grassmann algebra on n generators. Here we present a novel construction of Wpnq, from the same Dynkin diagram as A(n-1,0), but with additional generators and relations.
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Type of publication
conference paper (1)
Type of content
peer-reviewed (1)
Author/Editor
Cederwall, Martin, 1 ... (1)
Palmkvist, Jakob, 19 ... (1)
Carbone, Lisa (1)
University
Örebro University (1)
Chalmers University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2019 (1)

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