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math.RA2008★ 1 cited
On the structure of the necklace Lie algebra
Jacques Alev, Geert Van de Weyer
In this note, we initiate the systematic study of the Lie algebra structure of the necklace Lie algebra n of a free algebra in 2d variables. We begin by giving a description of n a…
math.RA2007★ 1 cited
Double Poisson Cohomology of Path Algebras of Quivers
Anne Pichereau, Geert Van de Weyer
In this note, we give a description of the graded Lie algebra of double derivations of a path algebra as a graded version of the necklace Lie algebra equipped with the Kontsevich b…
math.RA2001
Formal structures and representation spaces
Lieven Le Bruyn, Geert Van de Weyer
M. Kapranov introduced and studied in math.AG/9802041 the noncommutative formal structure of a smooth affine variety. In this note we show that his construction is a special case o…