DEFORMED DOUBLE YANGIAN STRUCTURES

DOI10.1142/S0129055X00000290zbMath0976.17007arXivmath/9905100MaRDI QIDQ4519863

Luc Frappat, Jean Avan, Daniel Arnaudon, Marco Rossi

Publication date: 4 December 2000

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905100

zbMATH Keywords

Poisson structuresscaling limitsquantum exchange relationsdouble Yangian structureselliptic vertex algebras

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)

Related Items (1)

Deformed Virasoro algebras and \({\mathcal W}\)-algebras from elliptic algebras

Cites Work

• Central extensions of quantum current groups
• Elliptic algebra \({\mathcal A}_{q,p}(\widehat{\mathfrak sl}_2)\) in the scaling limit
• Deformed \({\mathcal W}_N\) algebras from elliptic \(sl(N)\) algebras
• Quasi-Hopf deformations of quantum groups
• Dynamical symmetry of integrable quantum systems
• A central extension of \(DY_{\hbar}(\mathfrak{gl}_ 2)\)
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Quantum \({\mathcal W}\)-algebras and elliptic algebras
• New \(\mathcal W_{q,p}(\text{sl}(2))\) algebras from the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
• Bosonic representations of Yangian double with

This page was built for publication: DEFORMED DOUBLE YANGIAN STRUCTURES