varphi-Dialgebras and a Class of Matrix "Coquecigrues"

• Autores: Fausto Ongay
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 1, 2007, págs. 126-137
• Idioma: inglés
• DOI: 10.4153/cmb-2007-013-6
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• Resumen

  • Starting with the Leibniz algebra defined by a varphi-dialgebra, we construct examples of "coquecigrues," in the sense of Loday, that is to say, manifolds whose tangent structure at a distinguished point coincides with that of the Leibniz algebra. We discuss some possible implications and generalizations of this construction.