Cohomology of the Lie algebra ℌ2: Experimental results and conjectures |
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| Authors: | S Mohammadzadeh D B Fuchs |
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| Institution: | 1. City College of San-Francisco, San Francisco, USA
2. University of California, Davis, USA
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| Abstract: | The cohomology with trivial coefficients of the Lie algebra ? of Hamiltonian vector fields in the plane and of its maximal nilpotent subalgebra L 1? is considered. The cohomology H 2(L 1?) is calculated, and some far-reaching conjectures concerning the cohomology of the Lie algebras mentioned above and based on an extensive experimental material are formulated. |
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