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Elliptic Quantum Groups
Publisher title : Elliptic Quantum Groups
HITOSHI KONNO
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Summary
This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinite-dimensional representations, and a construction of the vertex operators as intertwining operators of these representations. The vertex operators are important objects in representation theory of quantum groups. In this book, they are used to derive the elliptic q-KZ equations and their elliptic hypergeometric integral solutions. In particular, the so-called elliptic weight functions appear in such solutions. The author’s recent study showed that these elliptic weight functions are identified with Okounkov’s elliptic stableenvelopes for certain equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov’s geometric approach to quantum integrable systems is a rapidly growing topic in mathematical physics related to the Bethe ansatz, the Alday-Gaiotto-Tachikawa correspondence between 4D SUSY gauge theories and the CFT’s, and the Nekrasov-Shatashvili correspondences between quantum integrable systems and quantum cohomology. To invite the reader to such topics is one of the aims of this book.
Details
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Price:
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$97.71
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Category:
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Author:
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HITOSHI KONNO
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Title:
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Elliptic Quantum Groups
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Release date:
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September 2020
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Editor:
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LIVRES NUMÉRIQUES DIVERS
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Subject:
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NUL DIVERS
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ISBN:
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9789811573873 (9811573875)
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Renaud-Bray Reference:
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3260197
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Item nb:
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3260197
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Digital rights
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Format:
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PDF
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Availability :
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Canada,
other authorized countries.
Elliptic Quantum Groups
By
KONNO , HITOSHI
ANDORRE
ÉMIRATS ARABES UNIS
ALBANIE
ARMÉNIE
ANTARCTIQUE
ARGENTINE
SAMOA AMÉRICAINES
AUTRICHE
AUSTRALIE
AZERBAÏDJAN
BOSNIE-HERZÉGOVINE
BARBADE
BELGIQUE
BURKINA FASO
BULGARIE
BAHREÏN
BURUNDI
BÉNIN
BERMUDES
BRUNÉI DARUSSALAM
BOLIVIE
BRÉSIL
BAHAMAS
BOUVET, ÎLE
BELIZE
Canada
CONGO, LA RÉPUBLIQUE DÉMOCRATIQUE DU
CONGO
SUISSE
CÔTE D'IVOIRE
COOK, ÎLES
CHILI
CAMEROUN
CHINE
COLOMBIE
COSTA RICA
CUBA
CAP-VERT
CHRISTMAS, ÎLE
CHYPRE
TCHÈQUE, RÉPUBLIQUE
ALLEMAGNE
DJIBOUTI
DANEMARK
DOMINIQUE
DOMINICAINE, RÉPUBLIQUE
ALGÉRIE
ÉQUATEUR
ESTONIE
ÉGYPTE
ESPAGNE
FINLANDE
FALKLAND, ÎLES (MALVINAS)
FÉROÉ, ÎLES
FRANCE
GABON
GRENADE
GÉORGIE
GUYANE FRANÇAISE
GIBRALTAR
GROENLAND
GUINÉE
GUADELOUPE
GUINÉE ÉQUATORIALE
GRÈCE
GUATEMALA
GUINÉE-BISSAU
GUYANA
HONG-KONG
HEARD, ÎLE ET MCDONALD, ÎLES
HONDURAS
CROATIE
HAÏTI
HONGRIE
INDONÉSIE
IRLANDE
ISRAËL
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Digital Rights Management :
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Adobe DRM
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Numeric warehouse :
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NUMILOG
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Number of authorized devices:
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3
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Number of copy-and-pastes:
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0
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Print:
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0
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Elliptic Quantum Groups
,
KONNO , HITOSHI
©
LIVRES NUMÉRIQUES DIVERS
2020
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