Krichever-Novikov Lie superalgebras; Jordan superalgebras; Lie antialgebras; Gelfand-Fuchs cocycle
Disciplines :
Mathematics
Author, co-author :
Kreusch, Marie ; Université de Liège - ULiège > Département de mathématique > Géométrie et théorie des algorithmes
Language :
English
Title :
Extensions of superalgebras of Krichever-Novikov type
Publication date :
15 January 2013
Number of pages :
22
Event name :
33rd winter school in Geometry and physics
Event organizer :
The Department of Mathematics and Statistics, Masaryk University Brno
Event place :
Srni, Czechia
Event date :
du 14 janvier 2013 au 21 janvier 2013
Audience :
International
References of the abstract :
An explicit construction of central extensions of Lie superalgebras of Krichever-Novikov type is given. In the case of Jordan superalgebras related to the superalgebras of Krichever-Novikov type we calculate a 1-cocycle with coefficients in the dual space.