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math.RT2020
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.
math.RT2020
The socle tableau as a dual version of the Littlewood-Richardson tableau
Justyna Kosakowska, Markus Schmidmeier
Like the LR-tableau, a socle tableau is given as a skew diagram with certain entries. Unlike in the LR-tableau, the entries in the socle tableau are weakly increasing in each row,…
math.RT2020
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…