2 citations · 3 across the 5 of their papers we have counts for
5 papers
Discrete and Backlund (!) transformations of SDYM system
A. N. Leznov
Symmetry of SDYM equations for "physically restricted solution" with hermitian group element in representation of Yang is described. Such transformation pass some PRS…
and automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations
A. N. Leznov
It is shown that there exists two inner authomorpism which lead to different form of the sistems equations of integrable hierarchy. We present discrete and Backlund transformation…
Quantized spaces are four-dimensional compact manifolds with de-Sitter (O(1,4) or O(2,3)) group of motion
A. N. Leznov
It is shown uniquely that quantized spaces are realised on four-dimensional compact manifolds. In the case of O(1,5) quantized space this are four independent parameters of O(5) un…
Theory of fields in quantized spaces
A. N. Leznov
It is shown how the theory of the fields can be constructed in a consistent way in quantized spaces. All constructions are connected with unitary irreducible representations of rea…
Ortogonal rotation in theory of finite-dimensional representations of quantum semisimple algebras. The case of algebra
A. N. Leznov
The metohod of ortogonal rotations introduced in the previous papers of the author is used for construction of the explicit form the generators of the simple roots for quantum (and…