Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras

dc.contributor.author	Nakanishi, T.
dc.date.accessioned	2019-02-19T18:22:44Z
dc.date.available	2019-02-19T18:22:44Z
dc.date.issued	2012
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 13F60
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.104
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149187
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	I thank Ivan Cherednik for raising this interesting question to me.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA