97 citations · 1.6k across the 79 of their papers we have counts for
79 papers
Remarks on higher Schwarzians
Anton Galajinsky
The Schwarzian derivative has recently received renewed attention in connection with the study of the Sachdev-Ye-Kitaev model. In mathematics literature, various higher order gener…
The group-theoretic approach to perfect fluid equations with conformal symmetry
Anton Galajinsky
The method of nonlinear realizations is a convenient tool for building dynamical realizations of a Lie group, which relies solely upon structure relations of the corresponding Lie…
Equations of fluid dynamics with the l-conformal Galilei symmetry
Anton Galajinsky
Equations of fluid dynamics are formulated, which hold invariant under the action of the l-conformal Galilei group. They include the conventional continuity equation, a higher orde…
Generalised point vortices on a plane
Anton Galajinsky
A three-vortex system on a plane is known to be minimally superintegrable in the Liouville sense. In this work, integrable generalisations of the three-vortex planar model, which i…
Dynamical realizations of the Lifshitz group
Anton Galajinsky
Dynamical realizations of the Lifshitz group are studied within the group-theoretic framework. A generalization of the 1d conformal mechanics is constructed, which involves an arbi…
Remarks on N=1 supersymmetric extension of the Euler top
Anton Galajinsky
A natural N=1 supersymmetric extension of the Euler top, which introduces exactly one fermionic counterpart for each bosonic degree of freedom, is considered. The equations of moti…