Geodesic
Bracket width of simple Lie algebras
Documenta mathematica, Tome 26 (2021), pp. 1601-1627 Cet article a éte moissonné depuis la source EMS Press

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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 [Math. Ann. 294, No. 2, 235–265 (1992; Zbl 0894.55006)] J. Barge and E. Ghys discovered the first example of a simple group of commutator width greater than one among groups of diffeomorphisms of smooth manifolds.
DOI : 10.4171/dm/850
Classification : 14H52, 17B66
Mots-clés : simple Lie algebras, Lie algebras of algebraic, symplectic and Hamiltonian vector fields, smooth affine curves, Danielewski surfaces, locally nilpotent derivations 
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     title = {Bracket width of simple {Lie} algebras},
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Andriy Regeta; Adrien Dubouloz; Boris Kunyavskiĭ. Bracket width of simple Lie algebras. Documenta mathematica, Tome 26 (2021), pp. 1601-1627. doi: 10.4171/dm/850

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