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Invariant Differential Operators. Volume 2: Quantum Groups 🔍
Dobrev, Vladimir K. De Gruyter, Walter de Gruyter GmbH, De Gruyter Studies in Mathematical Physics; 39, 2017 jan 10
英语 [en] · PDF · 1.9MB · 2017 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/upload/zlib · Save
描述
With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups.
**Contents**Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant __q__-Difference Operators Invariant __q__-Difference Operators Related to __GLq__(__n__)
__q__-Maxwell Equations Hierarchies
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upload/degruyter/Degruyter Imprints v2 [09-06-23]/ido-b/10.1515_9783110427707.pdf
备用文件名
nexusstc/Quantum Groups/fa71b5a891b10c14c2785057c732612c.pdf
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lgli/10.1515_9783110427707.pdf
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lgrsnf/10.1515_9783110427707.pdf
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zlib/Mathematics/Mathematical Physics/Vladimir K. Dobrev/Invariant Differential Operators. Volume 2: Quantum Groups_25461499.pdf
备选标题
Quantum Groups (de Gruyter Studies in Mathematical Physics)
备选作者
Vladimir K Dobrev; Knowledge Unlatched
备用出版商
Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH
备用出版商
düsseldorf university press. in Walter de Gruyter GmbH
备用出版商
de Gruyter GmbH, Walter
备用版本
De Gruyter studies in mathematical physics, Volume 39, Berlin [Germany] ; Boston [Massachusetts, 2017
备用版本
De Gruyter studies in mathematical physics, volume 35, 39, 49, 53, Berlin, 2016
备用版本
De Gruyter Studies in Mathematical Physics, 39/2, 1, 2017
备用版本
De Gruyter, Berlin/Boston, UNITED STATES, 2017
备用版本
Germany, Germany
元数据中的注释
degruyter.com
元数据中的注释
producers:
iTextSharp 5.0.6 (c) 1T3XT BVBA
元数据中的注释
{"isbns":["3110427702","3110435438","9783110427707","9783110435436"],"last_page":395,"publisher":"De Gruyter","series":"De Gruyter Studies in Mathematical Physics 39"}
备用描述
With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups.
Contents
Quantum Groups and Quantum Algebras
Highest-Weight Modules over Quantum Algebras
Positive-Energy Representations of Noncompact Quantum Algebras
Duality for Quantum Groups
Invariant q -Difference Operators
Invariant q -Difference Operators Related to GLq ( n )
q -Maxwell Equations Hierarchies
备用描述
Main subject categories: • Group theory and generalizations • Rings and algebras • Quantum Theory • Mathematical Physics • and more[From the preface]This is volume 2 of our set on invariant differential operators. In volume 1 we presented our canonical procedure for the construction of invariant differential operators and showed its application to the objects of the initial domain – noncompact semisimple Lie algebras and groups.In volume 2 we show the application of our procedure to quantum groups. Similarly to the setting of volume 1 the main actors are in duality. Just as Lie algebras and Lie groups are in duality here the dual objects are the main two manifestations of quantum groups: quantum algebras and matrix quantum groups. Actually, quantum algebras typically are deformations of the universal enveloping algebras of semisimple Lie algebras. Analogously, matrix quantum groups typically are deformations of spaces of functions over semisimple Lie groups.
备用描述
Preface
Contents
1 Quantum Groups and Quantum Algebras
2 Highest-Weight Modules over Quantum Algebras
3 Positive-Energy Representations of Noncompact Quantum Algebras
4 Duality for Quantum Groups
5 Invariant q-Difference Operators
6 Invariant q-Difference Operators Related to GL q (n)
7 q-Maxwell Equations Hierarchies
Bibliography
Author Index
Subject Index
备用描述
With Applications In Quantum Field Theory, Elementary Particle Physics And General Relativity, This Two-volume Work Studies Invariance Of Differential Operators Under Lie Algebras, Quantum Groups, Superalgebras Including Infinite-dimensional Cases, Schrödinger Algebras, Applications To Holography--
备用描述
"With applications in quantum field theory, elementary particle physics and general relativity, this four-volume work studies invariance of differential operators under Lie algebras, quantum groups, and superalgebras"-- Provided by publisher
开源日期
2023-07-20
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