某些双曲Kac-Moody代数的Weyl群
群论
2017-05-16 v2 环与代数
表示论
摘要
我们利用Clifford代数与Vahlen群的理论研究双曲Kac-Moody代数 T_n^{++} 的Weyl群，这些代数由有限型Cartan矩阵 T_n 通过双重扩张过程得到，其对应的广义Cartan矩阵是对称的。
引用
@article{arxiv.1601.04117,
title = {Weyl groups of some hyperbolic Kac-Moody algebras},
author = {Alex J. Feingold and Daniel Vallières},
journal= {arXiv preprint arXiv:1601.04117},
year = {2017}
}
备注
30 pages; Minor corrections from referee; Final version for publication; PARI program and explanatory Readme.txt file used in proof of Theorem 6.5 are available from the authors, may be available as ancillary files