| 书目名称 | Classgroups and Hermitian Modules | | 编辑 | A. Fröhlich | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | These notes are an expanded and updated version of a course of lectures which I gave at King‘s College London during the summer term 1979. The main topic is the Hermitian classgroup of orders, and in particular of group rings. Most of this work is published here for the first time. The primary motivation came from the connection with the Galois module structure of rings of algebraic integers. The principal aim was to lay the theoretical basis for attacking what may be called the "converse problem" of Galois module structure theory: to express the symplectic local and global root numbers and conductors as algebraic invariants. A previous edition of these notes was circulated privately among a few collaborators. Based on this, and following a partial solution of the problem by the author, Ph. Cassou-Nogues and M. Taylor succeeded in obtaining a complete solution. In a different direction J. Ritter published a paper, answering certain character theoretic questions raised in the earlier version. I myself disapprove of "secret circulation", but the pressure of other work led to a delay in publication; I hope this volume will make amends. One advantage of the delay is that the relevant r | | 出版日期 | Book 1984 | | 关键词 | Invariant; Volume; algebra; algebraic invariant; arithmetic; automorphism; character; cls; group; time; matrix | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-6740-6 | | isbn_softcover | 978-1-4684-6742-0 | | isbn_ebook | 978-1-4684-6740-6Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Boston, Inc. 1984 |
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发表于 2025-3-21 19:06:47
