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 ![]() | |
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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