| 000 | 02358nam a22003858i 4500 | ||
|---|---|---|---|
| 001 | CR9781316798577 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160210.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 160404s2017||||enk o ||1 0|eng|d | ||
| 020 | _a9781316798577 (ebook) | ||
| 020 | _z9781107175556 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA613.8 _b.B67 2017 |
| 082 | 0 | 0 |
_a515/.22 _223 |
| 100 | 1 |
_aBorodin, Alexei, _eauthor. |
|
| 245 | 1 | 0 |
_aRepresentations of the infinite symmetric group / _cAlexei Borodin, Grigori Olshanski. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2017. |
|
| 300 |
_a1 online resource (vii, 160 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v160 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 02 Dec 2016). | ||
| 520 | _aRepresentation 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 | _aHopf algebras. | |
| 650 | 0 | _aAlgebraic topology. | |
| 650 | 0 | _aRepresentations of groups. | |
| 650 | 0 | _aSymmetry groups. | |
| 700 | 1 |
_aOlshanskiÇ, G. I. _q(Grigori I.), _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107175556 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v160. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781316798577 |
| 999 |
_c515743 _d515741 |
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