Twisted forms of differential Lie algebras over C(t) associated with complex simple Lie algebras
Twisted forms of differential Lie algebras over C(t) associated with complex simple Lie algebras
复制标题
与复简单李代数相关的 C(t) 上微分李代数的扭曲形式
DOI：
10.1007/s40598-020-00155-7
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发表时间：
2021
影响因子：
--
通讯作者：
Yuta Shimada
中科院分区：
文献类型：
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作者：
Akira Masuoka;Yuta Shimada
这里讨论的是下降理论在微分上下文中，一切都配备了一个微分算子。为了回答A. Pianzola提出的一个问题，我们确定了与复单李代数过关联的微分李代数的所有扭曲形式。霍普夫伽罗瓦理论是群概型的扭体理论的环论对应物，在我们从扭体中把握上述扭体形式时起着作用。
Discussed here is descent theory in the differential context where everything is equipped with a differential operator. To answer a question personally posed by A. Pianzola, we determine all twisted forms of the differential Lie algebras overassociated with complex simple Lie algebras. Hopf–Galois Theory, a ring-theoretic counterpart of theory of torsors for group schemes, plays a role when we grasp the above-mentioned twisted forms from torsors.