4 papers
The existence of Hall polynomials for -bounded invariant subspaces of nilpotent linear operators
Stanisław Kasjan, Justyna Kosakowska
We prove the existence of Hall polynomials for -bounded invariant subspaces of nilpotent linear operators.
Combinatorial algorithms for binary operations on LR-tableaux with entries equal to 1 with applications to nilpotent linear operators
Mariusz Kaniecki, Justyna Kosakowska
In the paper we investigate an algorithmic associative binary operation on the set of Littlewood-Richardson tableaux with entries equal to one. We extend t…
Finite direct sums of cyclic embeddings
Justyna Kosakowska, Markus Schmidmeier
In this paper we generalize Kaplansky's combinatorial characterization of the isomorphism types of embeddings of a cyclic subgroup in a finite abelian group given in his 1951 book…
Applications of Littlewood-Richardson tableaux to computing generic extension of semisimple invariant subspaces of nilpotent linear operators
Mariusz Kaniecki, Justyna Kosakowska
The main aim of the paper is to present a~combinatorial algorithm that, applying Littlewood-Richardson tableaux with entries equal to , computes generic extensions of semisimple…