On Kronecker products of complex representations of the symmetric and alternating groups

C Bessenrodt, A Kleshchev - Pacific Journal of Mathematics, 1999 - msp.org
Kronecker or inner tensor products of representations of symmetric groups (and many other
groups) have been studied for a long time. But even for the symmetric groups no reasonable …

On the Durfee size of Kronecker products of characters of the symmetric group and its double covers

C Bessenrodt, C Behns - Journal of Algebra, 2004 - Elsevier
We investigate Kronecker products of characters for Sn and spin products for the double
covers S˜ n. We give bounds on the Durfee size of these products and provide information …

[HTML][HTML] Multiplicity-free Kronecker products of characters of the symmetric groups

C Bessenrodt, C Bowman - Advances in Mathematics, 2017 - Elsevier
We provide a classification of multiplicity-free inner tensor products of irreducible characters
of symmetric groups, thus confirming a conjecture of Bessenrodt. Concurrently, we classify …

[HTML][HTML] A diagrammatic approach to Kronecker squares

E Vallejo - Journal of Combinatorial Theory, Series A, 2014 - Elsevier
In this paper we improve a method of Robinson and Taulbee for computing Kronecker
coefficients and show that for any partition ν¯ of d there is a polynomial k ν¯ with rational …

Plane partitions and characters of the symmetric group

E Vallejo - Journal of Algebraic Combinatorics, 2000 - Springer
In this paper we show that the existence of plane partitions, which are minimal in a sense to
be defined, yields minimal irreducible summands in the Kronecker product χ λ⊗ χ μ of two …

On mixed products of complex characters of the double covers of the symmetric groups

C Bessenrodt - Pacific Journal of Mathematics, 2001 - msp.org
In this article, two families of (almost) homogeneous mixed Kronecker products of non-
faithful and of spin characters of the double covers of the symmetric groups are described …

[HTML][HTML] On (almost) extreme components in Kronecker products of characters of the symmetric groups

C Bessenrodt, S van Willigenburg - Journal of Algebra, 2014 - Elsevier
Using a recursion formula due to Dvir, we obtain information on maximal and almost
maximal components in Kronecker products of characters of the symmetric groups. This is …

[PDF][PDF] Multiplicity-free Kronecker Products of characters of the alternating groups

A Homma - 2022 - repo.uni-hannover.de
Multiplicity-free Kronecker Products of Characters of the Alternating Groups Page 1
Multiplicity-free Kronecker Products of Characters of the Alternating Groups Von der Fakultät für …

[PDF][PDF] On Kronecker products of characters of the symmetric groups with few components

C Bessenrodt, S van Willigenburg - personal.math.ubc.ca
Confirming a conjecture made by Bessenrodt and Kleshchev in 1999, we classify all
Kronecker products of characters of the symmetric groups with only three or four …

JOURNAL OF ALGEBRAIC COMBINATORICS

E Vallejo - kurims.kyoto-u.ac.jp
In this paper we show that the existence of plane partitions, which are minimal in a sense to
be defined, yields minimal irreducible summands in the Kronecker product chi lambda …