The regular representations of GLN over finite local principal ideal rings REGULAR REPRESENTATIONS OF GLN
The regular representations of GLN over finite local principal ideal rings REGULAR REPRESENTATIONS OF GLN
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GLN 在有限局部主理想环上的正则表示 GLN 的正则表示
DOI：
10.1112/blms.12099
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发表时间：
2017
影响因子：
0.9
通讯作者：
Stasinski A
中科院分区：
文献类型：
--
作者：
Stasinski A
设为非阿基米德局部域中的整数环，其剩余域为有限域，其极大理想为整数。一个不可约的有限群的表示，为一个整数，被称为正规的，如果其限制的主同余kernelcomes的陈述，其稳定器moduloare centralisers的正规元素。正规的陈述形式的最大类的陈述，其中目前是服从明确的建设。他们的研究，动机是超尖点表示的结构，可以追溯到Shintani，但一般情况下仍然开放了很长一段时间。本文给出了图的所有正则表示的显式构造。
Letbe the ring of integers in a non‐Archimedean local field with finite residue field,its maximal ideal, andan integer. An irreducible representation of the finite group, for an integer, is called regular if its restriction to the principal congruence kernelconsists of representations whose stabilisers moduloare centralisers of regular elements in.The regular representations form the largest class of representations ofwhich is currently amenable to explicit construction. Their study, motivated by constructions of supercuspidal representations, goes back to Shintani, but the general case remained open for a long time. In this paper we give an explicit construction of all the regular representations of.