The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129(Annals of Mathematics Studies)

通过紧凑开放子组的GL(N)的允许对偶。 (AM-129),第129卷

数学史

原   价:
884.00
售   价:
707.00
优惠
平台大促 低至8折优惠
发货周期:国外库房发货,通常付款后3-5周到货!
作      者
出  版 社
出版时间
1993年01月03日
装      帧
平装
ISBN
9780691021140
复制
页      码
332
开      本
9.26 x 6.12 x 0.81
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 50 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here.
馆藏图书馆
Princeton University Library
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个