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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149187 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639109058592768 |
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| author | Nakanishi, T. |
| author_facet | Nakanishi, T. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-01T00:30:04Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149187 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T00:30:04Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakanishi, T. 2019-02-19T18:22:44Z 2019-02-19T18:22:44Z 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/123456789/149187 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 |
| spellingShingle | Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras Nakanishi, T. |
| title | 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_short | Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras |
| title_sort | note on dilogarithm identities from nilpotent double affine hecke algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149187 |
| work_keys_str_mv | AT nakanishit noteondilogarithmidentitiesfromnilpotentdoubleaffineheckealgebras |