论文标题
组超级化学
Group superschemes
论文作者
论文摘要
我们开发了代数群体超级化学的一般理论，不一定是仿射。我们的关键结果是这些组超级化学与Harish-Chandra对之间的类别等效性，它概括了仿射代数组超级化学的结果。然后，我们介绍应用程序，包括超级上下文中的Barsotti-Chevalley定理，以及明确的Superscheme $ \ Mathbb {G}/\ Mathbb {h} $ supperscheme superscheme $ \ Mathbb {g} $ a group supersubscheme $ $ \ \ \ \}的代数集团superscheme superscheme $ \ m ipperscheme $ \ mathbb {g} $ {
We develop a general theory of algebraic group superschemes, which are not necessarily affine. Our key result is a category equivalence between those group superschemes and Harish-Chandra pairs, which generalizes the result known for affine algebraic group superschemes. Then we present the applications, including the Barsotti-Chevalley Theorem in the super context, and an explicit construction of the quotient superscheme $\mathbb{G}/\mathbb{H}$ of an algebraic group superscheme $\mathbb{G}$ by a group super-subscheme $\mathbb{H}$.
