activity
20142016
most citedMaximal multiplicative properties of partitions

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2016

Coincidences between characters to hooks and 2-part partitions on families arising from 2-regular classes

Christine Bessenrodt

Strongly refining results by Regev, Regev and Zeilberger, we prove surprising coincidences between characters to 2-part partitions of size n and characters to hooks of size n+2 on…

math.RT2016

Multiplicity-free Kronecker products of characters of the symmetric groups

Christine Bessenrodt, Christopher Bowman

We provide a classification of multiplicity-free inner tensor products of irreducible characters of symmetric groups, thus confirming a conjecture of Bessenrodt. Concurrently, we c…

math.GR2015

Huppert's Conjecture for Alternating groups

Christine Bessenrodt, Hung P. Tong-Viet, Jiping Zhang

We prove that the alternating groups of degree at least are uniquely determined up to an abelian direct factor by the degrees of their irreducible complex representations. This…

math.CO2014

Conway-Coxeter friezes and beyond: Polynomially weighted walks around dissected polygons and generalized frieze patterns

Christine Bessenrodt

Conway and Coxeter introduced frieze patterns in 1973 and classified them via triangulated polygons. The determinant of the matrix associated to a frieze table was computed explici…

math.NT2014

Multiplicative properties of the number of -regular partitions

Olivia Beckwith, Christine Bessenrodt

In a previous paper of the second author with K. Ono, surprising multiplicative properties of the partition function were presented. Here, we deal with -regular partitions. Exte…

math.CO20143 cited

Maximal multiplicative properties of partitions

Christine Bessenrodt, Ken Ono

Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any . The basis fo…