Crystal bases : representations and combinatorics / Daniel Bump, Stanford University, USA, Anne Schilling, University of California, Davis, USA.

This unique book provides the first introduction to crystal base theory from the combinatorial point of view.

Bibliographic Details
Main Authors: Bump, Daniel, 1952- (Author)
Schilling, Anne (Mathematician) (Author)
Language:English
Published: Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2017]
Subjects:
Physical Description:xii, 279 pages : illustrations ; 26 cm
Format: Book

MARC

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035 |a (OCoLC)960940627 
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042 |a pcc 
049 |a EEMR 
050 0 0 |a QA252.3  |b .B86 2017 
082 0 0 |a 512/.482  |2 23 
100 1 |a Bump, Daniel,  |d 1952-  |e author.  |0 http://id.loc.gov/authorities/names/n84041723 
245 1 0 |a Crystal bases :  |b representations and combinatorics /  |c Daniel Bump, Stanford University, USA, Anne Schilling, University of California, Davis, USA. 
264 1 |a Singapore ;  |a Hackensack, NJ :  |b World Scientific Publishing Co. Pte. Ltd.,  |c [2017] 
300 |a xii, 279 pages :  |b illustrations ;  |c 26 cm 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
504 |a Includes bibliographical references (pages 263-273) and index. 
520 8 |a This unique book provides the first introduction to crystal base theory from the combinatorial point of view.  |b This 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. 
650 0 |a Lie algebras.  |0 http://id.loc.gov/authorities/subjects/sh85076782 
650 0 |a Quantum groups.  |0 http://id.loc.gov/authorities/subjects/sh90005801 
650 0 |a Combinatorial analysis.  |0 http://id.loc.gov/authorities/subjects/sh85028802 
650 7 |a Combinatorial analysis.  |2 fast  |0 (OCoLC)fst00868961 
650 7 |a Lie algebras.  |2 fast  |0 (OCoLC)fst00998125 
650 7 |a Quantum groups.  |2 fast  |0 (OCoLC)fst01085113 
650 7 |a Mathematics.  |2 ukslc 
700 1 |a Schilling, Anne  |c (Mathematician),  |e author.  |0 http://id.loc.gov/authorities/names/no2014159265 
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952 f f |p Can Circulate  |a Michigan State University-Library of Michigan  |b Michigan State University  |c MSU Main Library  |d MSU Main Library  |t 0  |e QA252.3 .B86 2017  |h Library of Congress classification  |i Printed Material  |m 31293035872211  |n 1