-
67浏览
-
0点赞
-
0收藏
-
0分享
-
137下载
-
0评论
-
引用
期刊论文
Mullineux involution and twisted affine Lie algebras
Journal of Algebra 1 ~20,-0001,():
We use Naito and Sagaki's work [S. Naito, D. Sagaki, Lakshmibai-Seshadri paths fixed by a diagram automorphism, J. Algebra 245 (2001) 395-412; S. Naito, D. Sagaki, Standard paths and standard monomials fixed by a diagram automorphism, J. Algebra 251 (2002) 461-474] on Lakshmibai-Seshadri paths fixed by diagram automorphisms to study the partitions fixed by Mullineux involution. We characterize the set of Mullineux-fixed partitions in terms of crystal graphs of basic representations of twisted affine Lie algebras of type A (2) 2 and of type D (2)+1. We set up bijections between the set of symmetric partitions and the set of partitions into distinct parts. We propose a notion of double restricted strict partitions. Bijections between the set of restricted strict partitions (respectively, the set of double restricted strict partitions) and the set of Mullineux-fixed partitions in the odd case (respectively, in the even case) are obtained.
【免责声明】以下全部内容由[胡峻]上传于[2006年04月30日 18时22分10秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果