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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
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
Citation:
Tomoki Nakanishi, “Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras”, SIGMA, 8 (2012), 104, 5 pp.
Linking options:
https://www.mathnet.ru/eng/sigma781 https://www.mathnet.ru/eng/sigma/v8/p104
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Abstract page: | 129 | Full-text PDF : | 32 | References: | 35 |
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