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- W4313891640 abstract "The notion of commutator width of a group, defined as the smallest number of commutators needed to represent each element of the derived group as their product, has been extensively studied over the past decades. In particular, in 1992 Barge and Ghys discovered the first example of a simple group of commutator width greater than one among groups of diffeomorphisms of smooth manifolds. We consider a parallel notion of bracket width of a Lie algebra and present the first examples of simple Lie algebras of bracket width greater than one. They are found among the algebras of polynomial vector fields on smooth affine varieties." @default.
- W4313891640 created "2023-01-10" @default.
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- W4313891640 date "2021-02-17" @default.
- W4313891640 modified "2023-10-01" @default.
- W4313891640 title "Bracket width of simple Lie algebras" @default.
- W4313891640 doi "https://doi.org/10.48550/arxiv.2102.08674" @default.
- W4313891640 hasPublicationYear "2021" @default.
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