Note on dilogarithm identities from nilpotent double affine Hecke algebras
Quantum Algebra
2012-12-27 v2
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.
Keywords
Cite
@article{arxiv.1210.0226,
title = {Note on dilogarithm identities from nilpotent double affine Hecke algebras},
author = {Tomoki Nakanishi},
journal= {arXiv preprint arXiv:1210.0226},
year = {2012}
}
Comments
5 pages; v2: Section 4 added, journal version in SIGMA