| 000 | 02370nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781139976824 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160215.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 140321s2015||||enk o ||1 0|eng|d | ||
| 020 | _a9781139976824 (ebook) | ||
| 020 | _z9781107082052 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA182.5 _b.P73 2015 |
| 082 | 0 | 0 |
_a515/.7223 _223 |
| 100 | 1 |
_aPrasad, Amritanshu, _eauthor. |
|
| 245 | 1 | 0 |
_aRepresentation theory : _ba combinatorial viewpoint / _cAmritanshu Prasad, the Institute of Mathematical Sciences, Chennai. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2015. |
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| 300 |
_a1 online resource (xii, 191 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v147 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson-Schensted-Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur-Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end. | ||
| 650 | 0 | _aCombinatorial group theory. | |
| 650 | 0 | _aRepresentations of groups. | |
| 650 | 0 | _aSymmetry groups. | |
| 650 | 0 | _aSymmetric functions. | |
| 776 | 0 | 8 |
_iPrint version: _z9781107082052 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v147. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139976824 |
| 999 |
_c516161 _d516159 |
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