斜对称扩展仿射李代数
表示论
2026-02-16 v2
摘要
对于任意复系数斜对称矩阵，我们引入一种 EALA（扩展仿射李代数），称之为斜对称扩展仿射李代数（SSEALA）。由此我们得到一大类 EALA，且它们大多互不同构。本文研究具有有限维权空间的 SSEALA 的不可约可积模。我们对非退化斜对称矩阵的水平零情形分类了所有此类模。
引用
@article{arxiv.2309.14676,
title = {Skew Symmetric Extended Affine Lie algebras},
author = {S. Eswara Rao and Priyanshu Chakraborty},
journal= {arXiv preprint arXiv:2309.14676},
year = {2026}
}
备注
Appeared in JPAA, 2026. This is the final version of the published paper. The introduction is rewritten and some of the results written in a organized manner