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Crystal Bases: Representations and Combinatorics
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Bibliographic Detail
Publisher World Scientific Pub Co Inc
Publication date March 31, 2017
Pages 200
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9789814733434
ISBN-10 9814733431
Original list price $68.00
Summaries and Reviews
Amazon.com description: Product Description: 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.

Readership: Grauduate students and researchers interested in understanding from a viewpoint of combinatorics on crystal base theory.

Editions
Hardcover
The price comparison is for this edition
With Daniel Bump | from World Scientific Pub Co Inc (March 31, 2017)
9789814733434 | details & prices | 200 pages | List price $68.00
About: This unique book provides the first introduction to crystal base theory from the combinatorial point of view.
Paperback
Book cover for 9789814733441
 
With Daniel Bump | from World Scientific Pub Co Inc (March 31, 2017)
9789814733441 | details & prices | 1200 pages | List price $38.00
About: "The introduction to crystal bases given in this book is accessible to graduate students and researchers.

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