13 citations · 19 across the 10 of their papers we have counts for
6 papers · 1 filter
Unique path partitions: Characterization and Congruences
Christine Bessenrodt, Jørn B. Olsson, James A. Sellers
We give a complete classification of the unique path partitions and study congruence properties of the function which enumerates such partitions.
Generalized hook lengths in symbols and partitions
Christine Bessenrodt, Jorn B. Olsson, Jean-Baptiste Gramain
In this paper, we present, for any integer d, a description of the set of hooks in a d-symbol. We then introduce generalized hook length functions for a d-symbol, and prove a gener…
On bar lengths in partitions
Jean-Baptiste Gramain, Jorn B. Olsson
In this paper, we present, given a odd integer , a decomposition of the multiset of bar lengths of a bar partition as the union of two multisets, one consisting of the bar l…
A theorem on the cores of partitions
J. B. Olsson
If s and t are relatively prime positive integers we show that the s-core of a t-core partition is again a t-core partition
Properties of some character tables related to the symmetric groups
Christine Bessenrodt, Jorn B. Olsson, Richard P. Stanley
We determine invariants like the Smith normal form and the determinant for certain integral matrices which arise from the character tables of the symmetric groups S_n and their dou…
Residue symbols and Jantzen-Seitz partitions
Christine Bessenrodt, Jørn B. Olsson
Jantzen-Seitz partitions are those -regular partitions of~ which label -modular irreducible representations of the symmetric group which remain irreducible when rest…