東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Locally Compact Groups

Stroppel, Markus,

FindBook

Google Book

Amazon

博客來

Locally Compact Groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Locally Compact Groups/ Markus Stroppel
作者:	Stroppel, Markus,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2006,
面頁冊數:	1 online resource (312 pages)
標題:	Groups & group theory -
電子資源:	https://doi.org/10.4171/016
電子資源:	https://www.ems-ph.org/img/books/stroppel_mini.jpg
ISBN:	9783037195161

Locally Compact Groups
Stroppel, Markus,

Locally Compact Groups[electronic resource] /Markus Stroppel - Zuerich, Switzerland :European Mathematical Society Publishing House,2006 - 1 online resource (312 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical linear groups and from finite groups. The book gives a systematic and detailed introduction to the highlights of that theory. In the beginning, a review of fundamental tools from topology and the elementary theory of topological groups and transformation groups is presented. Completions, Haar integral, applications to linear representations culminating in the Peter-Weyl Theorem are treated. Pontryagin duality for locally compact Abelian groups forms a central topic of the book. Applications are given, including results about the structure of locally compact Abelian groups, and a structure theory for locally compact rings leading to the classification of locally compact fields. Topological semigroups are discussed in a separate chapter, with special attention to their relations to groups. The last chapter reviews results related to Hilbert's Fifth Problem, with the focus on structural results for non-Abelian connected locally compact groups that can be derived using approximation by Lie groups. The book is self-contained and is addressed to advanced undergraduate or graduate students in mathematics or physics. It can be used for one-semester courses on topological groups, on locally compact Abelian groups, or on topological algebra. Suggestions on course design are given in the preface. Each chapter is accompanied by a set of exercises that have been tested in classes.

ISBN: 9783037195161

Standard No.: 10.4171/016doiSubjects--Topical Terms:

3480852
Groups & group theory

Locally Compact Groups
LDR:02675nmm a22003015a 4500 001 2233146
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20060228sz fot ||| 0|eng d
020 $a 9783037195161
024 7 0 $a 10.4171/016 $2 doi
035 $a 37-091109
040 $a ch0018173
072 7 $a PBFD $2 bicssc
084 $a 22-xx $a 12-xx $a 20-xx $a 43-xx $2 msc
100 1 $a Stroppel, Markus, $e author. $3 3480851
245 1 0 $a Locally Compact Groups $h [electronic resource] / $c Markus Stroppel
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2006
300 $a 1 online resource (312 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Textbooks in Mathematics (ETB)
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical linear groups and from finite groups. The book gives a systematic and detailed introduction to the highlights of that theory. In the beginning, a review of fundamental tools from topology and the elementary theory of topological groups and transformation groups is presented. Completions, Haar integral, applications to linear representations culminating in the Peter-Weyl Theorem are treated. Pontryagin duality for locally compact Abelian groups forms a central topic of the book. Applications are given, including results about the structure of locally compact Abelian groups, and a structure theory for locally compact rings leading to the classification of locally compact fields. Topological semigroups are discussed in a separate chapter, with special attention to their relations to groups. The last chapter reviews results related to Hilbert's Fifth Problem, with the focus on structural results for non-Abelian connected locally compact groups that can be derived using approximation by Lie groups. The book is self-contained and is addressed to advanced undergraduate or graduate students in mathematics or physics. It can be used for one-semester courses on topological groups, on locally compact Abelian groups, or on topological algebra. Suggestions on course design are given in the preface. Each chapter is accompanied by a set of exercises that have been tested in classes.
650 0 7 $a Groups & group theory $2 bicssc $3 3480852
650 0 7 $a Topological groups, Lie groups $2 msc $3 3480824
650 0 7 $a Field theory and polynomials $2 msc $3 3480819
650 0 7 $a Group theory and generalizations $2 msc $3 3480853
650 0 7 $a Abstract harmonic analysis $2 msc $3 3480854
856 4 0 $u https://doi.org/10.4171/016
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/stroppel_mini.jpg