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Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2012_8_a103,
     author = {Tomoki Nakanishi},
     title = {Note on {Dilogarithm} {Identities} from {Nilpotent} {Double} {Affine} {Hecke} {Algebras}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2012},
     volume = {8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a103/}
}
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Tomoki Nakanishi. Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a103/

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