東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Representations of the infinite symm...

Borodin, Alexei.

Linked to FindBook

Google Book

Amazon

博客來

Representations of the infinite symmetric group

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representations of the infinite symmetric group/ Alexei Borodin, Grigori Olshanski.
Author:	Borodin, Alexei.
other author:	Olshanskii, Grigori
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	vii, 160 p. :ill., digital ;24 cm.
Subject:	Hopf algebras. -
Online resource:	https://doi.org/10.1017/CBO9781316798577
ISBN:	9781316798577

Representations of the infinite symmetric group
Borodin, Alexei.

Representations of the infinite symmetric group[electronic resource] /Alexei Borodin, Grigori Olshanski. - Cambridge :Cambridge University Press,2017. - vii, 160 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;160. - Cambridge studies in advanced mathematics ;160..

Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical physics, and algebraic combinatorics. Following a discussion of the classical Thoma's theorem which describes the characters of the infinite symmetric group, the authors describe explicit constructions of an important class of representations, including both the irreducible and generalized ones. Complete with detailed proofs, as well as numerous examples and exercises which help to summarize recent developments in the field, this book will enable graduates to enhance their understanding of the topic, while also aiding lecturers and researchers in related areas.

ISBN: 9781316798577Subjects--Topical Terms:

706147
Hopf algebras.

LC Class. No.: QA613.8 / .B67 2017

Dewey Class. No.: 515.22

Representations of the infinite symmetric group
LDR:01800nmm a2200253 a 4500 001 2182991
003 UkCbUP
005 20191005153602.0
006 m d
007 cr nn 008maaau
008 191203s2017 enk o 1 0 eng d
020 $a 9781316798577 $q (electronic bk.)
020 $a 9781107175556 $q (paper)
035 $a CR9781316798577
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA613.8 $b .B67 2017
082 0 4 $a 515.22 $2 23
090 $a QA613.8 $b .B736 2017
100 1 $a Borodin, Alexei. $3 3170725
245 1 0 $a Representations of the infinite symmetric group $h [electronic resource] / $c Alexei Borodin, Grigori Olshanski.
260 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a vii, 160 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 160
520 $a Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical physics, and algebraic combinatorics. Following a discussion of the classical Thoma's theorem which describes the characters of the infinite symmetric group, the authors describe explicit constructions of an important class of representations, including both the irreducible and generalized ones. Complete with detailed proofs, as well as numerous examples and exercises which help to summarize recent developments in the field, this book will enable graduates to enhance their understanding of the topic, while also aiding lecturers and researchers in related areas.
650 0 $a Hopf algebras. $3 706147
650 0 $a Algebraic topology. $3 532744
650 0 $a Representations of groups. $3 519598
650 0 $a Symmetry groups. $3 523813
700 1 $a Olshanskii, Grigori $q (Grigori I.) $3 3391850
830 0 $a Cambridge studies in advanced mathematics ; $v 160. $3 3391851
856 4 0 $u https://doi.org/10.1017/CBO9781316798577