论文标题
复杂的真实形式躺在超级蓝骨和超组
Real forms of complex Lie superalgebras and supergroups
论文作者
论文摘要
我们在标准版本和分级版本中研究了复杂形式的真实形式的超级级别和超级组的概念。我们的功能方法最自然地可以从超级巨头转到超级组，并像普通环境一样将真实形式作为固定点检索。我们还为Lie Superalgebras和Supergroups引入了更普遍的紧凑型真实形式的概念，我们证明了Superalgebras的某些存在结果，这些结果是简单的争论性及其相关连接的相关连接的超级组。
We investigate the notion of real form of complex Lie superalgebras and supergroups, both in the standard and graded version. Our functorial approach allows most naturally to go from the superalgebra to the supergroup and retrieve the real forms as fixed points, as in the ordinary setting. We also introduce a more general notion of compact real form for Lie superalgebras and supergroups, and we prove some existence results for Lie superalgebras that are simple contragredient and their associated connected simply connected supergroups.
