Karpilovsky G. (EN) — Induced Modules over Group Algebras

Тут можно читать онлайн книгу Karpilovsky G. (EN) - Induced Modules over Group Algebras - бесплатно полную версию (целиком). Жанр книги: Иностранная литература. Вы можете прочесть полную версию (весь текст) онлайн без регистрации и смс на сайте Lib-King.Ru (Либ-Кинг) или прочитать краткое содержание, аннотацию (предисловие), описание и ознакомиться с отзывами (комментариями) о произведении.

Induced Modules over Group Algebras
Язык книги: Английский
Прочитал книгу? Поставь оценку!
0 0

Induced Modules over Group Algebras краткое содержание

Induced Modules over Group Algebras - описание и краткое содержание, автор Karpilovsky G. (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group. This construction proved to be of fundamental importance and is one of the basic tools in the entire theory of group representations.This monograph is designed for research mathematicians and advanced graduate students and gives a picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings.

Induced Modules over Group Algebras - читать онлайн бесплатно полную версию (весь текст целиком)

Induced Modules over Group Algebras - читать книгу онлайн бесплатно, автор Karpilovsky G. (EN)

Поделиться книгой

Оставить отзыв