Note on dilogarithm identities from nilpotent double affine Hecke algebras (1210.0226v2)

Published 30 Sep 2012 in math.QA

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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Authors (1)

Tomoki Nakanishi

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