Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, some of which are known, while some are left conjectural. We confirm and ex...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149184 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras / T. Nakanishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 9 назв. — англ. |
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Nakanishi, T. 2019-02-19T18:21:40Z 2019-02-19T18:21:40Z 2012 Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras / T. Nakanishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 13F60 DOI: http://dx.doi.org/10.3842/SIGMA.2012.104 https://nasplib.isofts.kiev.ua/handle/123456789/149184 Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, some of which are known, while some are left conjectural. We confirm and explain all of them by showing the connection with Y-systems associated with (untwisted and twisted) quantum affine Kac-Moody algebras. I thank Ivan Cherednik for raising this interesting question to me. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras |
| spellingShingle |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras Nakanishi, T. |
| title_short |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras |
| title_full |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras |
| title_fullStr |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras |
| title_full_unstemmed |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras |
| title_sort |
note on dilogarithm identities from nilpotent double affine hecke algebras |
| author |
Nakanishi, T. |
| author_facet |
Nakanishi, T. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, some of which are known, while some are left conjectural. We confirm and explain all of them by showing the connection with Y-systems associated with (untwisted and twisted) quantum affine Kac-Moody algebras.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149184 |
| citation_txt |
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras / T. Nakanishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 9 назв. — англ. |
| work_keys_str_mv |
AT nakanishit noteondilogarithmidentitiesfromnilpotentdoubleaffineheckealgebras |
| first_indexed |
2025-12-07T17:46:39Z |
| last_indexed |
2025-12-07T17:46:39Z |
| _version_ |
1850872534796337152 |