CRYSTAL BASES: REPRESENTATIONS AND COMBINATORICS - Hardcover

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9789814733434: CRYSTAL BASES: REPRESENTATIONS AND COMBINATORICS
Hardcover
ISBN 10: 9814733431 ISBN 13: 9789814733434
Verlag: World Scientific, 2017

Inhaltsangabe

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.

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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 the ideas by Stembridge) and virtual crystals. It also emphasizes parallels between the representation theory of the symmetric and general linear group, and phenomena in combinatorics. The authors are both contributors to Sage, an open-source mathematical software system, which has strong support for crystal bases and combinatorics and the book takes advantage of this.

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Verlag
World Scientific
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
9814733431
ISBN 13 
9789814733434
Einband
Gebundene Ausgabe
Anzahl der Seiten
292
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9789814733441: Crystal Bases: Representations And Combinatorics

Vorgestellte Ausgabe

ISBN 10:  981473344X ISBN 13:  9789814733441
Verlag: WSPC, 2017
Softcover