3 papers
math.CO2005
P-partitions and a multi-parameter Klyachko idempotent
Peter McNamara, Christophe Reutenauer
Because they play a role in our understanding of the symmetric group algebra, Lie idempotents have received considerable attention. The Klyachko idempotent has attracted interest f…
math.CO2002
Poset Edge-Labellings and Left Modularity
Peter McNamara, Hugh Thomas
It is known that a graded lattice of rank n is supersolvable if and only if it has an EL-labelling where the labels along any maximal chain are exactly the numbers 1,2,...,n withou…
math.CO2001
EL-labelings, Supersolvability and 0-Hecke Algebra Actions on Posets
Peter McNamara
We show that a finite graded lattice of rank n is supersolvable if and only if it has an EL-labeling where the labels along any maximal chain form a permutation. We call such a lab…