Crystal Bases: Representations And Combinatorics
Author:   Daniel Bump (Stanford Univ, Usa) ,  Anne Schilling (Univ Of California, Davis, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814733441


Pages:   292
Publication Date:   08 March 2017
Format:   Paperback
Availability:   In Print   Availability explained
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Crystal Bases: Representations And Combinatorics


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Overview

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.

Full Product Details

Author:   Daniel Bump (Stanford Univ, Usa) ,  Anne Schilling (Univ Of California, Davis, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.80cm , Height: 1.50cm , Length: 24.10cm
Weight:   0.499kg
ISBN:  

9789814733441


ISBN 10:   981473344
Pages:   292
Publication Date:   08 March 2017
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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