Quantum generalized cluster algebras and quantum dilogarithms of higher degrees
Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum...
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Gespeichert in:
| Autor*in: |
Nakanishi, T. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and mathematical physics - Pleiades Publishing, 1969, 185(2015), 3 vom: Dez., Seite 1759-1768 |
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| Übergeordnetes Werk: |
volume:185 ; year:2015 ; number:3 ; month:12 ; pages:1759-1768 |
| Links: |
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| DOI / URN: |
10.1007/s11232-015-0377-9 |
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OLC2054241717 |
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| 520 | |a Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. | ||
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| 650 | 4 | |a quantum dilogarithm | |
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10.1007/s11232-015-0377-9 doi (DE-627)OLC2054241717 (DE-He213)s11232-015-0377-9-p DE-627 ger DE-627 rakwb eng 530 VZ Nakanishi, T. verfasserin aut Quantum generalized cluster algebras and quantum dilogarithms of higher degrees 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. cluster algebra quantum dilogarithm Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 185(2015), 3 vom: Dez., Seite 1759-1768 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:185 year:2015 number:3 month:12 pages:1759-1768 https://doi.org/10.1007/s11232-015-0377-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 AR 185 2015 3 12 1759-1768 |
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10.1007/s11232-015-0377-9 doi (DE-627)OLC2054241717 (DE-He213)s11232-015-0377-9-p DE-627 ger DE-627 rakwb eng 530 VZ Nakanishi, T. verfasserin aut Quantum generalized cluster algebras and quantum dilogarithms of higher degrees 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. cluster algebra quantum dilogarithm Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 185(2015), 3 vom: Dez., Seite 1759-1768 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:185 year:2015 number:3 month:12 pages:1759-1768 https://doi.org/10.1007/s11232-015-0377-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 AR 185 2015 3 12 1759-1768 |
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10.1007/s11232-015-0377-9 doi (DE-627)OLC2054241717 (DE-He213)s11232-015-0377-9-p DE-627 ger DE-627 rakwb eng 530 VZ Nakanishi, T. verfasserin aut Quantum generalized cluster algebras and quantum dilogarithms of higher degrees 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. cluster algebra quantum dilogarithm Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 185(2015), 3 vom: Dez., Seite 1759-1768 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:185 year:2015 number:3 month:12 pages:1759-1768 https://doi.org/10.1007/s11232-015-0377-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 AR 185 2015 3 12 1759-1768 |
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10.1007/s11232-015-0377-9 doi (DE-627)OLC2054241717 (DE-He213)s11232-015-0377-9-p DE-627 ger DE-627 rakwb eng 530 VZ Nakanishi, T. verfasserin aut Quantum generalized cluster algebras and quantum dilogarithms of higher degrees 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. cluster algebra quantum dilogarithm Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 185(2015), 3 vom: Dez., Seite 1759-1768 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:185 year:2015 number:3 month:12 pages:1759-1768 https://doi.org/10.1007/s11232-015-0377-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 AR 185 2015 3 12 1759-1768 |
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Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. © Pleiades Publishing, Ltd. 2015 |
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Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. © Pleiades Publishing, Ltd. 2015 |
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Abstract We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. © Pleiades Publishing, Ltd. 2015 |
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