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Lie superalgebras of Krichever-Novikov type
Schlichenmaier, Martin


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Keywords :
Superalgebra; Krichever--Novikov type algebra; central extensions
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. 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.
Disciplines :
Author, co-author :
Schlichenmaier, Martin ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
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Title :
Lie superalgebras of Krichever-Novikov type
Publication date :
10 November 2014
Number of pages :
Available on ORBilu :
since 11 November 2014


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