On \(q\)-deformed infinite-dimensional \(n\)-algebra

DOI10.1016/j.nuclphysb.2016.01.003zbMath1332.17016arXiv1404.0464OpenAlexW2964319249MaRDI QIDQ255011

Xiao-Yu Jia, Lu Ding, Wei-Zhong Zhao, Zhao-Wen Yan, Ke Wu

Publication date: 8 March 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0464

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) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

ℛ(p,q)-deformed super Virasoro n-algebras ⋮ On deformations of the Witt n-algebra ⋮ A 3-Lie algebra and the dKP Hierarchy ⋮ \(W_{1+\infty}3\)-algebra and the higher-order nonlinear Schrödinger equations in optical fiber ⋮ Generalized \(q\)-\(W_{\infty}\) constraints for the elliptic Hermitian matrix model ⋮ On generalized Lax equations of the Lax triple of the BKP and CKP hierarchies

Cites Work

• Unnamed Item
• Consistency conditions and representations of a \(q\)-deformed Virasoro algebra
• \(q\)-deformation of the Virasoro algebra with central extension
• \(W_{\infty }3\)-algebra
• Super \(w_{\infty}\) 3-algebra
• Trigonometric structure constants for new infinite-dimensional algebras
• Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
• The elliptic scattering theory of the \(1/2\)-\(XYZ\) and higher order deformed Virasoro algebras
• Chiral topological insulator on Nambu 3-algebraic geometry
• Higher dimensional quantum Hall effect as A-class topological insulator
• Ternary Virasoro-Witt algebra
• On \(W_{1 + \infty}\) 3-algebra and integrable system
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• Algebraic structures on parallel M2 branes
• \(n\)-Lie algebras
• Introduction to sh Lie algebras for physicists
• On foundation of the generalized Nambu mechanics
• Infinite-dimensional 3-algebra and integrable system
• A note on the deformed Virasoro algebra
• Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Quantum \({\mathcal W}\)-algebras and elliptic algebras
• Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
• n-Lie algebras
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Ternaryq-Virasoro–Witt Hom–Nambu–Lie algebras
• n-ary algebras: a review with applications
• On the quantum differential calculus and the quantum holomorphicity
• q-deformation of high-order Virasoro algebra
• A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations
• Generalized Hamiltonian Dynamics
• Strongly homotopy lie algebras
• COMMENTS ON THE DEFORMED W_N ALGEBRA
• Supersymmetric sine algebra and degeneracy of Landau levels

This page was built for publication: On \(q\)-deformed infinite-dimensional \(n\)-algebra