### 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 A_{n-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.

Original language | English (US) |
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Article number | 012020 |

Journal | Journal of Physics: Conference Series |

Volume | 1194 |

Issue number | 1 |

DOIs | |

State | Published - Apr 24 2019 |

Event | 32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018 - Prague, Czech Republic Duration: Jul 9 2018 → Jul 13 2018 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

*Journal of Physics: Conference Series*,

*1194*(1), [012020]. https://doi.org/10.1088/1742-6596/1194/1/012020