Elliptic Quantum Groups : Representations and Related Geometry

Language: English

Published by Springer, 2020

9811573867 / 9789811573866

Series: Book 36 of 40 - SpringerBriefs in Mathematical Physics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9789811573866

Title
Elliptic Quantum Groups : Representations and Related Geometry
Author
Hitoshi Konno
Publisher
Springer
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9811573867
ISBN 13
9789811573866
Item weight
236 grams
Dimensions
235x155x9 mm
Series
Book 36 of 40: SpringerBriefs in Mathematical Physics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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