國立虎尾科技大學 |

Representations of the infinite symmetric group /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Representations of the infinite symmetric group // Alexei Borodin, Grigori Olshanski.
作者:	Borodin, Alexei,
其他作者:	Olshanskiǐ, G. I.
面頁冊數:	1 online resource (vii, 160 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 02 Dec 2016).
標題:	Symmetry groups. -
電子資源:	https://doi.org/10.1017/CBO9781316798577
ISBN:	9781316798577 (ebook)

Representations of the infinite symmetric group /
Borodin, Alexei,

Representations of the infinite symmetric group /Alexei Borodin, Grigori Olshanski. - 1 online resource (vii, 160 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;160. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 02 Dec 2016).

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: 9781316798577 (ebook)Subjects--Topical Terms:

527839
Symmetry groups.

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

Dewey Class. No.: 515/.22

Representations of the infinite symmetric group /
LDR:02021nam a2200289 i 4500 001 1123485
003 UkCbUP
005 20161206151552.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2017||||enk o ||1 0|eng|d
020 $a 9781316798577 (ebook)
020 $z 9781107175556 (hardback)
035 $a CR9781316798577
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA613.8 $b .B67 2017
082 0 0 $a 515/.22 $2 23
100 1 $a Borodin, Alexei, $e author. $3 1440419
245 1 0 $a Representations of the infinite symmetric group / $c Alexei Borodin, Grigori Olshanski.
264 1 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a 1 online resource (vii, 160 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge studies in advanced mathematics ; $v 160
500 $a Title from publisher's bibliographic system (viewed on 02 Dec 2016).
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 Symmetry groups. $3 527839
650 0 $a Representations of groups. $3 672181
650 0 $a Algebraic topology. $3 678206
650 0 $a Hopf algebras. $3 796578
700 1 $a Olshanskiǐ, G. I. $q (Grigori I.), $e author. $3 1440420
776 0 8 $i Print version: $z 9781107175556
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/CBO9781316798577