Representations lisses de GL(m,D), IV : representations supercuspidales
表示论
2007-05-23 v1 数论
摘要
Let F be a non Archimedean locally compact field and let D be a central F-division algebra. We prove that any positive level supercuspidal irreducible representation of the group GL(m,D) is compactly induced from a representation of a compact mod center open subgroup of GL(m,D). More precisely, we prove that such representations contain a maximal simple type.
引用
@article{arxiv.math/0607298,
title = {Representations lisses de GL(m,D), IV : representations supercuspidales},
author = {Vincent Secherre and Shaun Stevens},
journal= {arXiv preprint arXiv:math/0607298},
year = {2007}
}
备注
66 pages, French