40 citations · 164 across the 13 of their papers we have counts for
4 papers · 1 filter
New families of cryptographic systems
Maryna Nesterenko, Jiri Patera, Dmytro Zhavrotskyj
A symmetric encryption method based on properties of quasicrystals is proposed. The advantages of the cipher are strict aperiodicity and everywhere discontinuous property as well a…
(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms
A. Klimyk, J. Patera
Four families of special functions, depending on n variables, are studied. We call them symmetric and antisymmetric multivariate sine and cosine functions. They are given as determ…
Invariants of Triangular Lie Algebras
Vyacheslav Boyko, Jiri Patera, Roman Popovych
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invarian…
Discrete and continuous exponential transforms of simple Lie groups of rank two
Iryna Kashuba, Jiri Patera
We develop and describe continuous and discrete transforms of class functions on compact simple Lie group as their expansions into series of uncommon special functions, called…