论文标题
代数代数代数代数
Algebraic exponentiation for Lie algebras
论文作者
论文摘要
众所周知，在戒指上的Lie代数类别承认代数指数。本文的目的是表明，对于添加剂，共同，对称，封闭，单型类别中的内部代数类别也是如此。通过这种方式，我们将一些新示例添加到本地已知代数的笛卡尔封闭类别的简短列表中，包括Lie Superalgebras的类别和差异分级的Lie代数。
It is known that the category of Lie algebras over a ring admits algebraic exponents. The aim of this paper is to show that the same is true for the category of internal 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 algebraically cartesian closed categories, including the categories of Lie superalgebras and differentially graded Lie algebras amongst others.
