论文标题
代数群体，谎言代数和有限的谎言类型的共同体学
Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type
论文作者
论文摘要
令G为主要特征领域的还原代数组。可以将其与G（或子组）相关联），其代数，其Frobenius内核和有限的雪佛兰积分群在有限的领域上。这些结构的表示理论高度相互联系。这篇说明性文章将专门关注这些结构的共同论理论及其之间的关系，目的是在过去20年中突出一些关键的发展以及相关的开放问题。
Let G be a reductive algebraic group over a field of prime characteristic. One can associate to G (or subgroups thereof) its Lie algebra, its Frobenius kernels, and the finite Chevalley group of points over a finite field. The representation theories of these structures are highly interconnected. This expository article will focus specifically on the cohomology theories of these structures and the relationships between them with the aim of highlighting a few key developments over the past 20 years and related open questions.
