更高张量范畴及其扩展：来自苏格兰代数与拓扑学讲座的笔记
量子代数
2025-09-16 v1 范畴论
表示论
摘要
这些讲义是为期一周的学习研讨会所产出的成果，讨论了 Johnson-Freyd 与 Reutter 对 braided fusion 类范畴是否存在最小非退化扩展问题的研究（arXiv:2105.15167）。这些笔记以阐述性角度重述原论文中的数学论证，涵盖理解该论文陈述及跟随证明所需的代数与同伦论背景。笔记面向对（braided）fusion 一、二范畴领域的新手。
引用
@article{arxiv.2509.10636,
title = {Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology},
author = {Diogo Andrade and Julia Bierent and Jennifer Brown and Tudor Caba and Matthew Cellot and Jonathan Davies and Adrien DeLazzer Meunier and Jannik Gröne and Benjamin Haïoun and Alea Hofstetter and Theo Johnson-Freyd and David Jordan and Tessa Kammermeier and Patrick Kinnear and Cameron Krulewski and Theodoros Lagiotis and Leon Liu and Adrià Marín Salvador and Nivedita and David Reutter and Lorenzo Riva and Iordanis Romaidis and Jack Romo and Sean Sanford and Michail Tagaris and Daniel Teixeira and Jackson van Dyke and Matthias Vancraeynest and Chetan Vuppulury and Matthew Yu and Markus Zetto},
journal= {arXiv preprint arXiv:2509.10636},
year = {2025}
}