RT Journal Article T1 Algebraic exponentiation for Lie algebras A1 García Martínez, Xabier A1 Gray, James K1 12 Matemáticas K1 1201.09 Álgebra de Lie AB It is known that the category of Lie algebras over a ring admits algebraicexponents. The aim of this paper is to show that the same is true for the category ofinternal Lie algebras in an additive, cocomplete, symmetric, closed, monoidal category.In this way, we add some new examples to the brief list of known locally algebraicallycartesian closed categories, including the categories of Lie superalgebras and differentially graded Lie algebras amongst others. Note that we are mainly interested in thecase where the underlying category is abelian, as is the case in all our examples, but donot impose this condition since not requiring it adds no complexity to our arguments PB Theory And Applications Of Categories SN 1201561X YR 2021 FD 2021 LK http://hdl.handle.net/11093/7898 UL http://hdl.handle.net/11093/7898 LA eng NO Theory And Applications Of Categories, 36(11): 288-305 (2021) NO Agencia Estatal de Investigación | Ref. MTM2016-79661-P DS Investigo RD 11-feb-2025