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Titlebook: Classgroups and Hermitian Modules; A. Fr?hlich Book 1984 Birkh?user Boston, Inc. 1984 Invariant.Volume.algebra.algebraic invariant.arithme

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發(fā)表于 2025-3-21 19:06:47 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Classgroups and Hermitian Modules
編輯A. Fr?hlich
視頻videohttp://file.papertrans.cn/228/227028/227028.mp4
叢書名稱Progress in Mathematics
圖書封面Titlebook: Classgroups and Hermitian Modules;  A. Fr?hlich Book 1984 Birkh?user Boston, Inc. 1984 Invariant.Volume.algebra.algebraic invariant.arithme
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
關(guān)鍵詞Invariant; Volume; algebra; algebraic invariant; arithmetic; automorphism; character; cls; group; time; matrix
版次1
doihttps://doi.org/10.1007/978-1-4684-6740-6
isbn_softcover978-1-4684-6742-0
isbn_ebook978-1-4684-6740-6Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkh?user Boston, Inc. 1984
The information of publication is updating

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沙發(fā)
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板凳
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地板
發(fā)表于 2025-3-22 06:18:41 | 只看該作者
Indecomposable Involution Algebras,interpretation a variety of distinct cases have to be considered separately. This exhibits once more the power of our formalism of Hom groups, determinants and Pfaffians to provide a unified language for all these different situations. E.g. our discriminant generalises various invariants for particu
5#
發(fā)表于 2025-3-22 12:07:47 | 只看該作者
https://doi.org/10.1007/978-3-658-19182-5d. Firstly certain results are best stated in these terms and many proofs reduce partly or completely to this case, in particular of course all those which only involve the algebra, not the order. Secondly indecomposable involution algebras provide explicit illustrations for general result, indicati
6#
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7#
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Brian W. J. Mahy,Thomas BarrettHere we shall introduce definitions and results which are needed subsequently, but which in themselves do not presuppose any Hermitian structure. Much of this is in principle well known.
8#
發(fā)表于 2025-3-22 23:54:57 | 只看該作者
Auf dem Weg zu einem Bezugsrahmen,This chapter contains the basic theory. The main problem, namely the definition of a good discriminant for Hermitian modules, which was alluded to in the introduction, will be posed in §2 and solved in §3 – §5.
9#
發(fā)表于 2025-3-23 04:11:39 | 只看該作者
B. J. Mailloux,J. E. L. Peck,C. H. A. KosterThis chapter deals with a particular Hermitian module, namely that of the ring of integers in a tame normal extension of a global or local field, viewed as a Galois module, together with the Hermitian form coming from the trace. It was this application which originally motivated the making of a general Hermitian theory.
10#
發(fā)表于 2025-3-23 09:34:22 | 只看該作者
Preliminaries,Here we shall introduce definitions and results which are needed subsequently, but which in themselves do not presuppose any Hermitian structure. Much of this is in principle well known.
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