Kashiwara-Vergne 解的逐次度数扩张
量子代数
2025-07-01 v2 代数拓扑
摘要
我们证明了 Kashiwara-Vergne 问题的解可以逐次度数进行扩张。这可用于简化一类 Drinfel'd 结合子的计算,而在 Alekseev-Torossian 猜想下,这类结合子可能包含所有结合子。我们还证明了 Kashiwara-Vergne 群的关联分次 Lie 代数同构于分次 Kashiwara-Vergne Lie 代数。
引用
@article{arxiv.2310.20420,
title = {Kashiwara-Vergne solutions degree by degree},
author = {Zsuzsanna Dancso and Iva Halacheva and Guillaume Laplante-Anfossi and Marcy Robertson},
journal= {arXiv preprint arXiv:2310.20420},
year = {2025}
}
备注
15 pages, now working over an arbitrary field of characteristic zero, to appear in Comptes Rendus. Math\'ematique