Algebraic Families of Groups and Commuting Involutions
Algebraic Families of Groups and Commuting Involutions
复制标题
群代数族和交换卷合
DOI：
10.1142/s0129167x18500301
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
E. Subag
中科院分区：
文献类型：
--
作者：
D. Barbasch;N. Higson;E. Subag
设$G$是一个复仿射代数群，$\sigma_1 $和$\sigma_2 $是$G$的交换反全纯对合.我们构造了复射影线上的代数群的代数族和该代数族上的一个真实的结构，该结构插值于真实的形式$G^{\sigma_1}$和$G^{\sigma_2}$之间.
Let $G$ be a complex affine algebraic group, and let $\sigma_1$ and $\sigma_2$ be commuting anti-holomorphic involutions of $G$. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that interpolates between the real forms $G^{\sigma_1}$ and $G^{\sigma_2}$.