On duality over a certain divided power algebra with positive characteristic

被引:0
作者
Takakazu Satoh
机构
[1] Saitama University,Dept. Math., Fac. Sci.
来源
manuscripta mathematica | 1997年 / 92卷
关键词
Modular Form; Topological Group; Function Field; Valuation Ring; Riemann Zeta Function;
D O I
暂无
中图分类号
学科分类号
摘要
The character group ofR is topologically isomorphic toR itself. On the contrary, it is impossible to construct anon-trivial homomorphism from the additive group of the field with characteristicp>0 to the multiplicative group of the field with the same characteristic. In this paper, we construct positive characteristic non-trivial characters and prove self-duality on a certain complete normed divided power algebra.
引用
收藏
页码:153 / 172
页数:19
相关论文
共 7 条
  • [1] Akin K.(1982)Schur functors and Schur complexes Adv. in Math. 44 207-278
  • [2] Buchsbaum A. D.(1935)On certain functions connected with polynomials in a Galois field Duke Math. J. 1 137-168
  • [3] Weyman J.(1980)The algebraist’s upper half-plane Bull. AMS 2 391-415
  • [4] Carlitz L.(1938)Functions on valued algebraically closed fields Izv. Akad. Nauk SSSR 2 487-498
  • [5] Goss D.(1987)Puissances divisées en caracteristique non nulle J. Algebra 110 523-529
  • [6] Schnirelman L.(undefined)undefined undefined undefined undefined-undefined
  • [7] Soublin J.-P.(undefined)undefined undefined undefined undefined-undefined