کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896486 | 1630418 | 2018 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regular characters of groups of type An over discrete valuation rings
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let o be a complete discrete valuation ring with finite residue field k of odd characteristic. Let G be a general or special linear group or a unitary group defined over o and let g denote its Lie algebra. For every positive integer â, let Kâ be the â-th principal congruence subgroup of G(o). A continuous irreducible representation of G(o) is called regular of level â if it is trivial on Kâ+1 and its restriction to Kâ/Kâ+1âg(k) consists of characters with G(kâ¾)-stabiliser of minimal dimension. In this paper we construct the regular characters of G(o), compute their degrees and show that the latter satisfy Ennola duality. We give explicit uniform formulae for the regular part of the representation zeta functions of these groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 496, 15 February 2018, Pages 116-137
Journal: Journal of Algebra - Volume 496, 15 February 2018, Pages 116-137
نویسندگان
Roi Krakovski, Uri Onn, Pooja Singla,