3 citations · 3 across the 2 of their papers we have counts for
5 papers
Null Kähler structures, Symmetries and Integrability
Maciej Dunajski, Maciej Przanowski
We review the integrable systems which arise as symmetry reductions of Plebanski's heavenly equations, and their generalisations. We also show that all four-dimensional null Kahler…
Linear Hilbertian manifold domains
M. Przanowski, M. Skulimowski
Necessary and sufficient conditions for a dense subspace of a Hilbert space to be a linear Hilbertian manifold domain are given. Some relations between linear Hilbertian manifold d…
Deformation Quantization of sdiff() SDYM Equation
M. Przanowski, J. F. Plebanski, S. Formanski
Deformation quantization (the Moyal deformation) of SDYM equation for the algebra of the area preserving diffeomorphisms of a 2-surface , sdiff(), is studied. Deforme…
Matrix representation of the generalized Moyal algebra
Jerzy F. Plebanski, Maciej Przanowski, Francisco J. Turrubiates
It is shown that the isomorphism between the generalized Moyal algebra and the matrix algebra follows in a natural manner from the generalized Weyl quantization rule and from the w…
The Geometry of Deformation Quantization and Self-Dual Gravity
Hugo Garcia-Compean, Jerzy F. Plebanski, Maciej Przanowski
A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical c…