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Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras

Vernadsky National Library of Ukraine

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Title Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
 
Creator Nakanishi, T.
 
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.
 
Date 2019-02-19T18:22:44Z
2019-02-19T18:22:44Z
2012
 
Type Article
 
Identifier 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
http://dspace.nbuv.gov.ua/handle/123456789/149187
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України