关于最大类 $p$ 群的 Lie 环
天体物理仪器与方法
2025-12-17 v1 宇宙学与河外天体物理
高能天体物理现象
摘要
Lazard 对应关系在 群的最大类与由 进制数域构造的某类 Lie 环之间建立了密切联系。本文旨在研究此类 Lie 环。具体而言，我们证明它们必然是有限的。随后可知它们是小类 nilpotent 的。这一结果弥补了 (Eick, Komma \& Saha 2025) 中的重要缺口。
引用
@article{arxiv.2512.14546,
title = {Multi-messenger and time-domain astronomy in the 2040s},
author = {Samaya Nissanke and Nikhil Sarin and Chris Copperwheat and Sarah Antier and David Berge and Pablo Bosch and Archisman Ghosh and Paul Groot and Gregg Hallinan and Tanja Hinderer and Kenta Hotokezaka and Theophanes Karydas and Mansi Kasliwal and Yves Kini and Rubina Kotak and Kumiko Kotera and Marek Kowalski and Luke Krauth and Kruthi Krishna and Thomas Kupfer and Paraskevas Lampropoulos and Andrew Levan and Ioannis Liodis and Lea Marcotulli and Kunal Mooley and Silvia Piranomonte and Nanda Rea and Martin Roth and Simone Scaringi and Steve Schulze and Lami Suleiman and Nial Tanvir and Angela Zegarelli and Sylvia J. Zhu},
journal= {arXiv preprint arXiv:2512.14546},
year = {2025}
}
备注
4 pages, 2 figures. White paper submitted to ESO Expanding Horizons call