导出的Langlands V：单纯范畴和类霍普夫范畴
Derived Langlands V:The simplicial and Hopflike categories
摘要：
这是第五篇文章在衍生朗兰兹系列，其中包括一个专着和四篇文章。在这篇文章中，我描述了霍普夫代数和积极的自伴Hopfalgebra（PSH）方面的分类的一些新的类的介绍和受理已出现在较早的系列。这篇论文以一个非常深奥的问题开始。部分假设，整个系列的合成。本系列中的许多证明和想法旨在提供建议，而不是在其中解释的情有可原的情况下完成的最终产品。
英文摘要：
This is the fifth article in the Derived Langlands series which consists of one monograph and four articles. In this article I describe the Hopf algebra and Positive Selfadjoint Hopfalgebra (PSH) aspects to classification of a number of new classes of presentations and admissibility which have appeared earlier in the series. The paper begins with a very estensive. partly hypothetical, of the synthesis of the entire series. Many of the proofs and ideas in this series are intended to be suggestive rather than the finished definitive product for extenuating circumstances explained therein.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
