Reference : Lie superalgebras of Krichever-Novikov type |

E-prints/Working papers : First made available on ORBilu | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/18756 | |||

Lie superalgebras of Krichever-Novikov type | |

English | |

Schlichenmaier, Martin [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

10-Nov-2014 | |

14 | |

No | |

[en] Superalgebra ; Krichever--Novikov type algebra ; central extensions | |

[en] Classically,
starting from the Witt and Virasoro algebra important examples of Lie superalgebras were constructed. In this write-up of a talk presented at the Bia\l owie\.za meetings we report on results on Lie superalgebras of Krichever-Novikov type. These algebras are multi-point and higher genus equivalents of the classical algebras. The grading in the classical case is replaced by an almost-grading. It is induced by a splitting of the set of points, were poles are allowed, into two disjoint subsets. With respect to a fixed splitting, or equivalently with respect to a fixed almost-grading, it is shown that there is up to rescaling and equivalence a unique non-trivial central extension of the Lie superalgebra of Krichever--Novikov type. It is given explicitly. | |

Researchers ; Professionals | |

http://hdl.handle.net/10993/18756 |

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