RT Conference Proceedings
T1 On the homological properties of the universal enveloping Leibniz algebra
A1 Cañete-Molero, Elisa María
K1 Álgebras no asociativas - Congresos
AB We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasi-Koszul algebra or an inhomogeneous Koszul algebra. We presented an imersion of the derivation set of a Leibniz algebra with maximum lenght into the set of derivations of its universal enveloping Leibniz algebra to study the first homology group of those wild type associative algebras.We will follow Loday and Pirashvili's work and Green and Martinez-Villa's works. REFERENCES:    -  E.L. Green and R. Martinez-Villa,  "Koszul and Yoneda algebras", Canadian Math. Soc. (1994), 18, 247-298.    - E.L. Green and R. Martinez-Villa,  "Koszul and Yoneda algebras", Canadian Math. Soc., (1998), 24, 227-244.   -  J--L. Loday and T. Pirashvili, Universal enveloping algebras of Leibniz algebras and (co)-homology, Math Ann. (1993), 296, 139-158.
YR 2018
FD 2018-02-27
LK https://hdl.handle.net/10630/15285
UL https://hdl.handle.net/10630/15285
LA eng
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 22 ene 2026