(Co)homology of leibniz algebras and applications
FP4 — Training and Mobility of Researchers
- Duration
- 1998-09-01 → 2000-08-31
- EU contribution
- —
- Participants
- 2
- Scheme
- RGI
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Project objective
Research objectives and content Leibniz homology is the natural homology theory for Leibniz algebras, which are a generalization of lie algebras whose bracket is not antisymmetric. 1. The main examples of Lebniz algebras (not lie) is given by the derived brackets of a differential live algebra. Such derived leibniz algebras affear in clasical differential geometry an well as in non-commutative geometry, genralized BV-algebras and in closed sting theory. My first subject of research is the comparision between classical and Leibniz homology of differental lie algebras, with applicatons in the twoon concrete examples. 2. The second subject of research is the comparision of live and Leibnizhomology of the algebras .... from foliations. The results apply both to symplectic and non-commutative geometry. Training content (objective, benefit and expected impact) The specific proposed project is expected to have good impect and benefits, since it favorites the interaction between two areas of research (homological algebra and symplecte geometry) on booth of which the laboratory IRAM of Strasbourg offers a bery active working groups.
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