國立高雄大學圖資館 |

Language: English

Back

Group matrices, group determinants a...

Johnson, Kenneth W.

Group matrices, group determinants and representation theorythe mathematical legacy of Frobenius /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Group matrices, group determinants and representation theoryby Kenneth W. Johnson.
Reminder of title:	the mathematical legacy of Frobenius /
Author:	Johnson, Kenneth W.
Published:	Cham :Springer International Publishing :2019.
Description:	xxv, 384 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Representations of groups.
Online resource:	https://doi.org/10.1007/978-3-030-28300-1
ISBN:	9783030283001$q(electronic bk.)

Group matrices, group determinants and representation theorythe mathematical legacy of Frobenius /
Johnson, Kenneth W.

Group matrices, group determinants and representation theorythe mathematical legacy of Frobenius /[electronic resource] :by Kenneth W. Johnson. - Cham :Springer International Publishing :2019. - xxv, 384 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22330075-8434 ;. - Lecture notes in mathematics ;2035..

This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.

ISBN: 9783030283001$q(electronic bk.)

Standard No.: 10.1007/978-3-030-28300-1doiSubjects--Topical Terms:

191076
Representations of groups.

LC Class. No.: QA176 / .J64 2019

Dewey Class. No.: 512.22

Group matrices, group determinants and representation theorythe mathematical legacy of Frobenius /
LDR:02118nmm a2200325 a 4500 001 569680
003 DE-He213
005 20191108200023.0
006 m d
007 cr nn 008maaau
008 200723s2019 gw s 0 eng d
020 $a 9783030283001$q(electronic bk.)
020 $a 9783030282998$q(paper)
024 7 $a 10.1007/978-3-030-28300-1 $2 doi
035 $a 978-3-030-28300-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA176 $b .J64 2019
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 512.22 $2 23
090 $a QA176 $b .J67 2019
100 1 $a Johnson, Kenneth W. $3 203299
245 1 0 $a Group matrices, group determinants and representation theory $h [electronic resource] : $b the mathematical legacy of Frobenius / $c by Kenneth W. Johnson.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxv, 384 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2233
520 $a This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.
650 0 $a Representations of groups. $3 191076
650 1 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a Combinatorics. $3 274788
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u https://doi.org/10.1007/978-3-030-28300-1
950 $a Mathematics and Statistics (Springer-11649)