Gauss Sums and p-adic Division Algebras
Gauss Sums and p-adic Division Algebras
复制标题
高斯和和 p 进除代数
DOI：
10.1007/bfb0066413
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
A. Fröhlich
中科院分区：
文献类型：
--
作者：
C. Bushnell;A. Fröhlich
设F是p-adic有理域Op的有限域扩张，D是有限维n²的中心F-除代数。这些说明有两个主要目的。第一个是发展了D的乘法群D的不可约容许表示上的同余高斯和τ（π）的理论。对于第二个，我们假设X* 这套笔记的最终版本是准备，而作者正在访问伊利诺伊大学厄巴纳-香槟分校在1981年秋季的参与者在一个特殊的一年代数和代数数论组织的我。雷纳第一个是国王学院的休假第二个是
INTRODUCTION and Let F be a finite field extension of the p-adic rational field Op let D be a central F-division algebra of finite dimension n². These notes have two principal aims. The first of these is to develop the theory of a congruence Gauss sum τ (π) attached to an irreducible admissible representation of the multiplicative group D of D. For the second, we assume X* The final version of this set of notes was prepared while the authors were visiting the University of Illinois at Urbana-Champaign in the Fall of 1981 as participants in a Special Year of Algebra and Algebraic Number Theory organised by I. Reiner. The first was on sabbatical leave from King's The second was the