Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish

Abstract

This is an introduction to Quantum Integrability and Quantum Groups, a special issue collection of articles published in Journal of Physics A in memory of Petr P. Kulish. A list of Kulish's publications is included.

27 pages

References in corpus (22)

• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• PT-symmetric Deformations of the Korteweg-de Vries Equation
• Integrability in dipole-deformed N=4 super Yang-Mills
• Integrals of motion from quantum toroidal algebras
• Scale invariant transfer matrices and Hamiltionians
• Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices
• Maximally extended sl(2|2), q-deformed d(2,1;epsilon) and 3D kappa-Poincaré
• Noncommutative fields and actions of twisted Poincare algebra
• Miura and Generalized Bäcklund Transformation for KdV Hierarchy
• On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories
• On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models
• Matrix product formula for $U_q(A_2^{(1)})$-zero range process
• From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• An inhomogeneous Lax representation for the Hirota equation
• String Functions for Affine Lie Algebras Integrable Modules
• Flat structures on Frobenius Manifolds in the case of irrelevant deformations
• Semiclassical geometry of integrable systems
• Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of CYBE
• Dynamical reflection equation
• Twists in U(sl(3)) and their quantizations
• Form factors of the O(6) Gross Neveu-model