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Lie Superalgebras of Krichever-Novikov type
SCHLICHENMAIER, Martin
2015In KIelanowski, Piotr; Bieliavsky, Pierre; Odzijewicz, Anatol et al. (Eds.) Geometric Methods in Physics, Bialowieza XXXIII
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Keywords :
Lie algebras; Mathematical physics; conformal field theory
Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
SCHLICHENMAIER, Martin  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Lie Superalgebras of Krichever-Novikov type
Publication date :
2015
Main work title :
Geometric Methods in Physics, Bialowieza XXXIII
Editor :
KIelanowski, Piotr
Bieliavsky, Pierre
Odzijewicz, Anatol
SCHLICHENMAIER, Martin  
Voronov, Theodore
Publisher :
Birkhaeuser
Collection name :
Trends in Mathematics
Pages :
213-226
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 15 December 2015

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