同伦 Lie-Rinehart 代数的表示
量子代数
2015-01-23 v4 K理论与同调
摘要
我提出了沿强同伦 Lie-Rinehart 代数的左/右联络的定义。这使我能够同时推广 Lie 代胚的同伦至表示与强同伦 Lie 代数在分级流形上的作用。我还讨论了与强同伦 Lie-Rinehart 联络相关的 Schouten-Nijenhuis 演算。
引用
@article{arxiv.1304.4353,
title = {Representations of Homotopy Lie-Rinehart Algebras},
author = {Luca Vitagliano},
journal= {arXiv preprint arXiv:1304.4353},
year = {2015}
}
备注
v2: 29 pages, 3 tables, title changed, examples and references added. v3: 32 pages, examples added. Typos and a (minor) mistake corrected. v4: typos corrected, accepted for publication on Math. Proc. Camb. Phil. Soc., Comments still welcome!