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arXiv · 1210.0226

Note on dilogarithm identities from nilpotent double affine Hecke algebras

Tomoki Nakanishi
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Abstract

Recently Cherednik and Feigin 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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Tomoki Nakanishi. 2012-12-25. Note on dilogarithm identities from nilpotent double affine Hecke algebras. https://doi.org/10.3842/sigma.2012.104

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