Universal integrability objects.
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| Title: | Universal integrability objects. |
|---|---|
| Authors: | Boos, H.1 boos@physik.uni-wuppertal.de, Göhmann, F.1 goehmann@physik.uni-wuppertal.de, Klümper, A.1 kluemper@uni-wuppertal.de, Nirov, Kh. knirov@physik.uni-wuppertal.de, Razumov, A. Alexander.Razumov@ihep.ru |
| Source: | Theoretical & Mathematical Physics. Jan2013, Vol. 174 Issue 1, p21-39. 19p. |
| Subjects: | Quantum groups, Transfer operators, Functional analysis, Operator theory, Quantum theory, Set theory, Group theory |
| Abstract: | We discuss the main points of the quantum group approach in the theory of quantum integrable systems and illustrate them for the case of the quantum group U(L( sl)). We give a complete set of the functional relations correcting inexactitudes in the previous considerations. We especially attend to the interrelation of the representations used to construct the universal transfer operators and Q-operators. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Items | – Name: Title Label: Title Group: Ti Data: Universal integrability objects. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Boos%2C+H%2E%22">Boos, H.</searchLink><relatesTo>1</relatesTo><i> boos@physik.uni-wuppertal.de</i><br /><searchLink fieldCode="AR" term="%22Göhmann%2C+F%2E%22">Göhmann, F.</searchLink><relatesTo>1</relatesTo><i> goehmann@physik.uni-wuppertal.de</i><br /><searchLink fieldCode="AR" term="%22Klümper%2C+A%2E%22">Klümper, A.</searchLink><relatesTo>1</relatesTo><i> kluemper@uni-wuppertal.de</i><br /><searchLink fieldCode="AR" term="%22Nirov%2C+Kh%2E%22">Nirov, Kh.</searchLink><i> knirov@physik.uni-wuppertal.de</i><br /><searchLink fieldCode="AR" term="%22Razumov%2C+A%2E%22">Razumov, A.</searchLink><i> Alexander.Razumov@ihep.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+%26+Mathematical+Physics%22">Theoretical & Mathematical Physics</searchLink>. Jan2013, Vol. 174 Issue 1, p21-39. 19p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+groups%22">Quantum groups</searchLink><br /><searchLink fieldCode="DE" term="%22Transfer+operators%22">Transfer operators</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+analysis%22">Functional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Set+theory%22">Set theory</searchLink><br /><searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We discuss the main points of the quantum group approach in the theory of quantum integrable systems and illustrate them for the case of the quantum group U(L( sl)). We give a complete set of the functional relations correcting inexactitudes in the previous considerations. We especially attend to the interrelation of the representations used to construct the universal transfer operators and Q-operators. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11232-013-0002-8 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 21 Subjects: – SubjectFull: Quantum groups Type: general – SubjectFull: Transfer operators Type: general – SubjectFull: Functional analysis Type: general – SubjectFull: Operator theory Type: general – SubjectFull: Quantum theory Type: general – SubjectFull: Set theory Type: general – SubjectFull: Group theory Type: general Titles: – TitleFull: Universal integrability objects. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Boos, H. – PersonEntity: Name: NameFull: Göhmann, F. – PersonEntity: Name: NameFull: Klümper, A. – PersonEntity: Name: NameFull: Nirov, Kh. – PersonEntity: Name: NameFull: Razumov, A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 00405779 Numbering: – Type: volume Value: 174 – Type: issue Value: 1 Titles: – TitleFull: Theoretical & Mathematical Physics Type: main |
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