Poisson structures on the center of the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)

DOI10.1016/S0375-9601(97)00637-3zbMath1024.17005arXivq-alg/9705012MaRDI QIDQ1966420

Marco Rossi, Jean Avan, Luc Frappat, Paul Sorba

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9705012

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Deformed Virasoro algebras from elliptic quantum algebras, Dynamical centers for the elliptic quantum algebra $ \newcommand{\elpb}[1{{{\mathcal{B}}_{q,\lambda}(\widehat{gl}_{#1})_c}} \newcommand{\e}{{\rm e}} \elpb{2}$], New \(\mathcal W_{q,p}(\text{sl}(2))\) algebras from the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\), Central extensions of classical and quantum \(q\)-Virasoro algebras, Classical and quantum \(q\)-deformed physical systems, Deformed Virasoro algebras and \({\mathcal W}\)-algebras from elliptic algebras

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