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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 104, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.104 (Mi sigma781) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras

Tomoki Nakanishi

Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8604, Japan
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DOI: https://doi.org/10.3842/SIGMA.2012.104
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.
Keywords: double affine Hecke algebra; dilogarithm; $Y$-system.
Received: November 15, 2012; in final form December 22, 2012; Published online December 25, 2012
Bibliographic databases:
Document Type: Article
MSC: 17B37; 13F60
Language: English
Citation: Tomoki Nakanishi, “Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras”, SIGMA, 8 (2012), 104, 5 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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