RT Dissertation/Thesis
T1 Braided Crossed Modules and Loday-Pirashvili category
A1 Fernández Fariña, Alejandro
K1 Braided category
K1 Crossed Module
K1 Lie Algebra
K1 Leibniz Algebra
K1 universal central extension
K1 Loday-Pirashvili category
AB This thesis is devoted to the study of braidings in different mathematicalcontexts, as well as in a deeper analysis of the Loday-Pirashvili category.We will study the notion of braidings for crossed modules and internal categories in the cases of groups,associative algebras, Lie algebras and Leibniz algebras, showing the equivalence between the respectivecategories.We will also study universal central extensions in the category of braided crossed modules of Lie algebras.Finally, we will show how to generalize the Loday-Pirashvili category. With that construction, we will exhibit ageneralization of the relationship between Lie and Leibniz objects.
YR 2021
FD 2021
LK http://hdl.handle.net/10347/26581
UL http://hdl.handle.net/10347/26581
LA eng
DS Minerva
RD 24 abr 2026