Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661290 | Topology and its Applications | 2007 | 7 Pages |
Abstract
We prove that no nilpotent Lie algebra admits an invariant generalized Kähler structure. This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kähler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra.
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Mathematics
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