对换的超李代数
表示论
2025-08-15 v3 群论
环与代数
摘要
我们将对称群的分圆代数视为超代数，并描述其由对换生成的李子超代数。更新版本修正了第4.5–4.7节中的若干论证。主要结果的陈述不受影响。
引用
@article{arxiv.2310.01555,
title = {The Lie superalgebra of transpositions},
author = {Christopher M. Drupieski and Jonathan R. Kujawa},
journal= {arXiv preprint arXiv:2310.01555},
year = {2025}
}
备注
30 pages. The third version contains minor corrections that do not affect the results. The paper will appear in Algebras and Representation Theory