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Cover: 9789814733434 | Crystal Bases | Representations and Combinatorics | Bump (u. a.)
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CRYSTAL BASES
REPRESENTATIONS AND COMBINATORICS
Buch von Daniel Bump & Anne Schilling
Sprache: Englisch

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Beschreibung
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.
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.
Details
Erscheinungsjahr: 2017
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789814733434
ISBN-10: 9814733431
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Daniel Bump & Anne Schilling
Hersteller: World Scientific
Maße: 250 x 175 x 20 mm
Von/Mit: Daniel Bump & Anne Schilling
Erscheinungsdatum: 18.01.2017
Gewicht: 0,689 kg
Artikel-ID: 103494439
Details
Erscheinungsjahr: 2017
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789814733434
ISBN-10: 9814733431
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Daniel Bump & Anne Schilling
Hersteller: World Scientific
Maße: 250 x 175 x 20 mm
Von/Mit: Daniel Bump & Anne Schilling
Erscheinungsdatum: 18.01.2017
Gewicht: 0,689 kg
Artikel-ID: 103494439
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