Crystal Bases: Representations And Combinatorics

Language: English

Published by World Scientific Publishing Co Pte Ltd, SG, 2017

981473344X / 9789814733441

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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.

Seller Inventory # LU-9789814733441

Title
Crystal Bases: Representations And Combinatorics
Author
Daniel Bump, Anne Schilling
Publisher
World Scientific Publishing Co Pte Ltd, SG
Publication year
2017
Condition
New
Binding
Paperback
Language
English
ISBN 10
981473344X
ISBN 13
9789814733441

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