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math.QA2005★ 10 cited
A rigidity theorem for preLie algebras
M. Livernet
In this paper we prove a ``Leray theorem'' for preLie algebras. We define a notion of ''Hopf'' preLie algebra: it is a preLie algebra together with a non associative permutative co…
math.QA2000
Pre-Lie algebras and the rooted trees operad
Frederic Chapoton, Muriel Livernet
A Pre-Lie algebra is a vector space L endowed with a bilinear product * : L \times L to L satisfying the relation (x*y)*z-x*(y*z)= (x*z)*y-x*(z*y), for all x,y,z in L. We give an e…