17 citations · 28 across the 4 of their papers we have counts for
8 papers
On immanant functions related to Weyl groups of
Lenka Háková, Agnieszka Tereszkiewicz
In this work we recall the definition of matrix immanants, a generalization of the determinant and permanent of a matrix. We use them to generalize families of symmetric and antisy…
Complete Decompositions of Coxeter groups orbit products of and and some limits for them
Agnieszka Tereszkiewicz
Orbits of the Weyl reflection groups attached to the simple Lie groups and Coxeter group are considered. For each of the groups products of any two orbits are…
Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials
Maryna Nesterenko, Jiri Patera, Marzena Szajewska +1
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select t…
Orthogonal polynomials of compact simple Lie groups
Maryna Nesterenko, Jiri Patera, Agnieszka Tereszkiewicz
Recursive algebraic construction of two infinite families of polynomials in variables is proposed as a uniform method applicable to every semisimple Lie group of rank . Its…
Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials
Maciej Horowski, Goce Chadzitaskos, Anatol Odzijewicz +1
We present exact solutions of a class of models, which describe the parametric down conversion of photons. The Hamiltonians of this models are related to the classes of finite orth…
The exact solution of the eigenproblem for the parametric down conversion process in the Kerr medium
Goce Chadzitaskos, Maciej Horowski, Anatol Odzijewicz +1
The eigenproblem for a class of Hamiltonians of the parametric down conversion process in the Kerr medium is solved. Some physical characteristics of the system are calculated.