000			01880nam a22002777a 4500
003			OSt
005			20241210101230.0
008			241210b |||||||| |||| 00| 0 hin d
020			_a9789814733441
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.81 _bBUM-C
100	1		_aBump, Daniel
245	1	0	_aCrystal bases : _brepresentations and combinatorics
260			_aNew Jersey : _bWorld Scientific, _c2017
300			_axii, 279 pages : _billustrations ; _c26 cm
504			_aIncludes bibliographical references (pages 263-273) and index.
520			_aThis unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by combinatorial means. This book approaches the subject directly from combinatorics, building crystals through local axioms (based on ideas by Stembridge) and virtual crystals. It also emphasizes parallels between the representation theory of the symmetric and general linear groups and phenomena in combinatorics. The combinatorial approach is linked to representation theory through the analysis of Demazure crystals. The relationship of crystals to tropical geometry is also explained.
521			_aGraduate students and researchers interested in understanding from a viewpoint of combinatorics on crystal base theory.
650		0	_aLie algebras.
650		0	_aQuantum groups.
650		0	_aCombinatorial analysis.
700	1		_aSchilling, Anne
856			_3Table of content _uhttps://www.worldscientific.com/doi/reader/10.1142/9789814733458_fmatter
856			_3Reviews _uhttps://www.goodreads.com/book/show/28350083-crystal-bases#CommunityReviews
942			_2udc _cBK
999			_c35513 _d35513