53 citations · 71 across the 3 of their papers we have counts for
5 papers
A combinatorial characterization of tight fusion frames
Marcin Bownik, Kurt Luoto, Edward Richmond
In this paper we give a combinatorial characterization of tight fusion frame (TFF) sequences using Littlewood-Richardson skew tableaux. The equal rank case has been solved recently…
Skew quasisymmetric Schur functions and noncommutative Schur functions
Christine Bessenrodt, Kurt Luoto, Stephanie van Willigenburg
Recently a new basis for the Hopf algebra of quasisymmetric functions , called quasisymmetric Schur functions, has been introduced by Haglund, Luoto, Mason, van Willigenburg.…
Refinements of the Littlewood-Richardson Rule
James Haglund, Kurt W. Luoto, Sarah Mason +1
In the prequel to this paper, we showed how results of Mason involving a new combinatorial formula for polynomials that are now known as Demazure atoms (characters of quotients of…
Quasisymmetric Schur functions
J. Haglund, K. Luoto, S. Mason +1
We introduce a new basis for quasisymmetric functions, which arise from a specialization of nonsymmetric Macdonald polynomials to standard bases, also known as Demazure atoms. Our…
A matroid-friendly basis for the quasisymmetric functions
Kurt W. Luoto
A new Z-basis for the space of quasisymmetric functions (QSym, for short) is presented. It is shown to have nonnegative structure constants, and several interesting properties rela…