与李对相关联的霍普夫代数
A Hopf algebra associated to a Lie pair
摘要：
李代数胚对$A\hookrightarrow L$的商$L/A[-1]$是左$\mathcal{U}(A)$ -模范畴$\mathscr{A}$的导出范畴$D^b(\mathscr{A})$中的李代数对象，Atiyah类$α_{L/A}$是它的李括号。本文描述了李代数对象$L/A[-1]$的泛包络代数，证明了它是$D^b(\mathscr{A})$中的霍普夫代数对象.
英文摘要：
The quotient $L/A[-1]$ of a pair $A\hookrightarrow L$ of Lie algebroids is a Lie algebra object in the derived category $D^b(\mathscr{A})$ of the category $\mathscr{A}$ of left $\mathcal{U}(A)$-modules, the Atiyah class $α_{L/A}$ being its Lie bracket. In this note, we describe the universal enveloping algebra of the Lie algebra object $L/A[-1]$ and we prove that it is a Hopf algebra object in $D^b(\mathscr{A})$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
