13 citations · 19 across the 10 of their papers we have counts for
11 papers
Hook removal operators on the odd Young graph
Christine Bessenrodt, Eugenio Giannelli, Jorn B. Olsson
In this article we consider hook removal operators on odd partitions, i.e., partitions labelling odd-degree irreducible characters of finite symmetric groups. In particular we comp…
Restriction of Odd Degree Characters of
Christine Bessenrodt, Eugenio Giannelli, Jorn B. Olsson
Let and be natural numbers such that . We study the restriction to of odd-degree irreducible characters of the symmetric group $\mathfrak{S}…
Complex group algebras of the double covers of the symmetric and alternating groups
Christine Bessenrodt, Hung Ngoc Nguyen, Jørn B. Olsson +1
We prove that the double covers of the alternating and symmetric groups are determined by their complex group algebras. To be more precise, let be an integer, a finit…
Submatrices of character tables and basic sets
Christine Bessenrodt, Jørn B. Olsson
In this investigation of character tables of finite groups we study basic sets and associated representation theoretic data for complementary sets of conjugacy classes. For the sym…
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…