97 citations · 1.6k across the 79 of their papers we have counts for
67 papers · 1 filter
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…