Crystal Bases: Representations And Combinatorics - Couverture souple

Bump, Daniel

 
9789814733441: Crystal Bases: Representations And Combinatorics
Couverture souple
ISBN 10 : 981473344X ISBN 13 : 9789814733441
Editeur : WSPC, 2017

Synopsis

"The introduction to crystal bases given in this book is accessible to graduate students and researchers. Its combinatorial approach is reader-friendly and invites the reader to get involved, either working on the exercises listed at the end of each chapter or by playing with the computational implementation on freely-available software, sage in this case, where the authors have many built-in accessible examples and some algorithms for specific crystal bases." MAA Reviews 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

"The introduction to crystal bases given in this book is accessible to graduate students and researchers. Its combinatorial approach is reader-friendly and invites the reader to get involved, either working on the exercises listed at the end of each chapter or by playing with the computational implementation on freely-available software, sage in this case, where the authors have many built-in accessible examples and some algorithms for specific crystal bases." MAA Reviews 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.

Revue de presse

The introduction to crystal bases given in this book is accessible to graduate students and researchers. Its combinatorial approach is reader-friendly and invites the reader to get involved, either working on the exercises listed at the end of each chapter or by playing with the computational implementation on freely-available software, Sage in this case, where the authors have many built-in accessible examples and some algorithms for specific crystal bases. --MAA Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
WSPC
Date d'édition
2017
Langue
anglais
ISBN 10 
981473344X
ISBN 13 
9789814733441
Reliure
Broché
Numéro d'édition
1
Nombre de pages
292
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9789814733434: Crystal Bases: Representations and Combinatorics

Edition présentée

ISBN 10 :  9814733431 ISBN 13 :  9789814733434
Editeur : World Scientific Publishing Co P..., 2017
Couverture rigide