Reference : Lie Superalgebras of Krichever-Novikov type |

Parts of books : Contribution to collective works | |||

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

http://hdl.handle.net/10993/22997 | |||

Lie Superalgebras of Krichever-Novikov type | |

English | |

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

2015 | |

Geometric Methods in Physics, Bialowieza XXXIII | |

KIelanowski, Piotr | |

Bieliavsky, Pierre | |

Odzijewicz, Anatol | |

Schlichenmaier, Martin | |

Voronov, Theodore | |

Birkhaeuser | |

Trends in Mathematics | |

213-226 | |

Yes | |

[en] Lie algebras ; Mathematical physics ; conformal field theory | |

[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. he 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 ; Students | |

http://hdl.handle.net/10993/22997 |

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