Reference : An elementary proof of the vanishing of the second cohomology of the Witt and Virasor...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11402
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module
English
Schlichenmaier, Martin mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
May-2014
Forum Mathematicum
26
3
913-929
Yes (verified by ORBilu)
International
1435-5337
0933-7741
[en] Witt algebra ; Virasoro algebra; ; Lie algebra cohomology
[en] By elementary and direct calculations the vanishing of the (algebraic) second Lie algebra cohomology of the Witt and the Virasoro algebra with values in the adjoint module is shown. This yields infinitesimal and formal rigidity or these algebras. The first (and up to now only) proof of this important result was given 1989 by Fialowski in an unpublished note. It is based on cumbersome calculations. Compared to the original proof the presented one is quite elegant and considerably simpler.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/11402
10.1515/forum-2011-0143
online published February 2012

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