5 papers
Kronecker coefficients via the Giambelli identity for Schur functions
John M. Campbell
One of the central open problems in both algebraic combinatorics and representation theory is to find a positive combinatorial rule for Kronecker coefficients . A n…
Partition algebras as monoid algebras
John M. Campbell
Wilcox has considered a twisted semigroup algebra structure on the partition algebra , but it appears that there has not previously been any known basis that give…
Semisimple algebras related to immaculate tableaux
John M. Campbell
Given a direct sum of full matrix algebras, if there is a combinatorial interpretation associated with both the dimension of and the dimensions of the irreducible -modul…
A lift of chromatic symmetric functions to
John M. Campbell
If we consider previously introduced extensions of Stanley's chromatic symmetric function for a graph to elements in the algebra of qu…
A Schur-Weyl duality analogue based on a commutative bilinear operation
John M. Campbell
Schur-Weyl duality concerns the actions of and on tensor powers of the form for an -dimensional vector space . There are r…